ASTM D4650-19

• Abstract:

  ABSTRACT; The normal butane thermophysical property tables are for use in the calculation of the pressure-volume-temperature (PVT), thermodynamic, and transport properties of normal butane for process design and operations. The preparation of the tables and supporting work was done by the National Institute of Standards and Technology (NIST) under the sponsorship of the Gas Research Institute, the American Gas Association, and the Standard Reference Data Program of NIST. These thermophysical property tables are: thermophysical properties of coexisting gaseous and liquid normal butane and thermophysical properties of normal butane.; SCOPE; 1.1 The thermophysical property tables for normal butane are for use in the calculation of the pressure-volume-temperature (PVT), thermodynamic, and transport properties of normal butane for process design and operations. Two tables provide properties at the conditions of liquid-vapor equilibrium (saturation properties), one for liquid and one for vapor, at temperatures between 135 K and the critical point, 425.13 K. A third table provides properties at selected T, p points for the equilibrium phase at temperatures between 140 K and 570 K at pressures to 20 MPa. The tables were developed using the National Institute of Standards and Technology Standard Reference Database product REFPROP, version 10.0. ; 1.2 The values stated in SI units are to be regarded as standard. No other units of measurement are included in this standard. ; 1.3 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.

• Status: Published
• Publication Date: 31-Mar-2019
• ICS: 75.160.30 - Gaseous fuels
• Technical Committee: D03 - Gaseous Fuels
• Drafting Committee: D03.08 - Thermophysical Properties

• Replaces: ASTM D4650-14 - Standard Specification for Normal Butane Thermophysical Property Tables
• Effective Date: 01-Apr-2019

Overview

ASTM D4650-19: Standard Specification for Normal Butane Thermophysical Property Tables provides essential thermophysical property data for pure normal butane over a wide range of temperatures and pressures. Developed under the oversight of ASTM Committee D03 on Gaseous Fuels, and with supporting work from the National Institute of Standards and Technology (NIST), this standard aids in the accurate calculation of pressure-volume-temperature (PVT), thermodynamic, and transport properties. The tables in this specification are critical for professionals involved in process design, operation, and simulation utilizing normal butane.

Key Topics

ASTM D4650-19 includes:

• Thermophysical property tables for normal butane: Detailed tables cover properties for normal butane in both liquid and vapor phases, at vapor-liquid equilibrium, as well as along isobars.
• Comprehensive temperature and pressure range: Data extends from 135 K to the critical point (425.13 K) for equilibrium properties, and up to 570 K and 20 MPa for selected phase-equilibrium points.
• Standardized SI units: All property values are presented exclusively in SI units, ensuring international consistency.
• Key measured properties: Tables provide values for molar density, enthalpy, entropy, heat capacities (Cp and Cv), speed of sound, viscosity, and thermal conductivity.
• Dual-phase equilibrium data: Separate data sets for normal butane liquid and vapor at saturation, supporting both design and operational needs.
• Basis in trusted sources: The tables are derived from the NIST REFPROP database, widely recognized for its accuracy in fluid property data.

Applications

Businesses and professionals in sectors such as petroleum refining, gas processing, chemical manufacturing, and energy engineering rely on the ASTM D4650-19 property tables for:

• Process design: Engineers use the property data for designing systems involving normal butane, such as distillation columns, heat exchangers, and storage facilities.
• Process simulation: Accurate thermodynamic and transport properties enable efficient and reliable chemical process modeling and simulation.
• Operational analysis: Operators and analysts reference these tables for troubleshooting, optimization, and control of systems containing normal butane.
• Mixture modeling: Although the tables are for pure normal butane, they are also used as inputs for constructing models of mixtures containing normal butane.
• Research and development: Scientists apply this data in the study of phase behavior, thermodynamic cycles, and advanced energy systems where normal butane plays a role.
• Compliance and quality assurance: Companies meeting regulated performance and safety standards depend on this standardized property data.

Related Standards

For comprehensive practice and extended applications, users may reference these related standards:

• ASTM D2598: Standard Practice for Calculation of Certain Physical Properties of Liquefied Petroleum (LP) Gases from Compositional Analysis
• ASTM D3588: Standard Practice for Calculating Heat Value, Compressibility Factor, and Relative Density of Gaseous Fuels
• ASTM D2163: Standard Test Method for Determination of Hydrocarbon Types and Oxygenates in Gasoline-High-Resolution Gas Chromatography Method
• NIST REFPROP Database: Underlying source of fluid properties data, supporting a broader range of compounds and mixtures

By adhering to ASTM D4650-19, professionals ensure access to reliable, internationally recognized normal butane property data, supporting optimal process design, safety, and operational efficiency across a range of industrial applications.

This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the
Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
Designation: D4650 −19
Standard Specification for
Normal Butane Thermophysical Property Tables
This standard is issued under the fixed designation D4650; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope units, engineering units, chemical units) and additional prop-
erties are available with this program.
1.1 The thermophysical property tables for normal butane
are for use in the calculation of the pressure-volume- 3.2 These thermophysical property tables are:
temperature (PVT), thermodynamic, and transport properties 3.2.1 Thermophysical Properties of Normal Butane Liquid
of normal butane for process design and operations.Two tables at Vapor-Liquid Equilibrium, in SI units. See Table 1.
providepropertiesattheconditionsofliquid-vaporequilibrium 3.2.2 Thermophysical Properties of Normal Butane Vapor
(saturation properties), one for liquid and one for vapor, at at Vapor-Liquid Equilibrium, in SI units. See Table 2.
temperatures between 135 K and the critical point, 425.13 K.A 3.2.3 Thermophysical Properties of Normal Butane Along
third table provides properties at selected T, p points for the Isobars, in SI units. See Table 3.
equilibrium phase at temperatures between 140 K and 570 K at
3.3 The symbols are:
pressures to 20 MPa. The tables were developed using the
T, temperature (K)
National Institute of Standards and Technology Standard Ref- -1
ρ, molar density (mol·L )
-1
erence Database product REFPROP, version 10.0.
H, molar enthalpy (J·mol )
-1 -1
1.2 The values stated in SI units are to be regarded as S, molar entropy (J·K ·mol )
-1 -1
standard. No other units of measurement are included in this Cv, constant volume molar heat capacity (J·K ·mol )
-1 -1
standard. Cp, constant pressure molar heat capacity (J·K ·mol )
-1
c, speed of sound (m·s )
1.3 This international standard was developed in accor-
η, viscosity (µPa·s)
dance with internationally recognized principles on standard-
-1 -1
λ, thermal conductivity (mW·m ·K )
ization established in the Decision on Principles for the
Development of International Standards, Guides and Recom-
3.4 The tabulated thermophysical properties are:
-1
mendations issued by the World Trade Organization Technical
ρ, molar density (mol·L )
-1
Barriers to Trade (TBT) Committee.
H, molar enthalpy (J·mol )
-1 -1
S, molar entropy (J·K ·mol )
2. Applicability
-1 -1
Cv, constant volume molar heat capacity (J·K ·mol )
-1 -1
2.1 These tables apply directly only to pure normal butane. Cp, constant pressure molar heat capacity (J·K ·mol )
-1
They may also be used in mathematical models and tables for
c, speed of sound (m·s )
the thermophysical properties of mixtures containing normal η, viscosity (µPa·s)
-1 -1
butane.
λ, thermal conductivity (mW·m ·K )
3. Tables
4. Additional Information
3.1 These tables were produced by equations from a com-
4.1 Reference state properties are required to calculate the
puter package, “NIST Standard Reference Database 23; Ref-
thermodynamic properties enthalpy and entropy from an equa-
erence Fluid Thermodynamic and Transport Properties Data-
tion of state formulation. The reference state properties used
base (REFPROP):Version 10.0.” Awide selection of units (SI
are those specified by the International Institute of Refrigera-
tion (IIR): enthalpy, H= 200 J/g, and entropy, S= 1 J/(g·K), for
1 the saturated liquid at 273.15 K (0 °C).
This specification is under the jurisdiction of ASTM Committee D03 on
Gaseous Fuels and is the direct responsibility of Subcommittee D03.08 on
4.2 The molar mass of normal butane is 58.122 g/mol.
Thermophysical Properties.
Current edition approved April 1, 2019. Published May 2019. Originally
5. Keywords
approved in 1987. Last previous edition approved in 2014 as D4650 – 14. DOI:
10.1520/D4650-19.
5.1 butane; N-butane; natural gas; normal butane gas tables;
Available from Standard Reference Data, National Institute of Standards and
thermodynamic properties of normal butane; transport proper-
Technology (NIST), 100 Bureau Dr., Stop 1070, Gaithersburg, MD 20899-1070,
http://www.nist.gov. ties of normal butane
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
D4650 − 19
TABLE 1 Thermophysical Properties of Normal Butane Liquid at Vapor-Liquid Equilibrium
Tp ρ HS C C c ηλ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K MPa mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s µPa·s mW·m ·K
135 6.7910E-07 12.643 -5208.7 -26.944 83.783 114.67 1826.10 2350.5 176.53
137 9.8726E-07 12.611 -4979.3 -25.257 83.793 114.77 1812.80 2172.0 175.86
139 1.4181E-06 12.579 -4749.6 -23.593 83.799 114.87 1799.60 2012.7 175.19
141 2.0137E-06 12.547 -4519.8 -21.951 83.805 114.97 1786.60 1870.2 174.49
143 2.8282E-06 12.515 -4289.8 -20.331 83.809 115.07 1773.70 1742.4 173.79
145 3.9306E-06 12.483 -4059.5 -18.732 83.814 115.17 1761.00 1627.4 173.06
147 5.4080E-06 12.451 -3829.1 -17.154 83.819 115.27 1748.50 1523.8 172.33
149 7.3695E-06 12.419 -3598.4 -15.596 83.827 115.38 1736.00 1430.1 171.58
151 9.9501E-06 12.387 -3367.6 -14.056 83.836 115.50 1723.70 1345.2 170.81
153 1.3316E-05 12.355 -3136.5 -12.536 83.848 115.61 1711.40 1268.1 170.04
155 1.7670E-05 12.323 -2905.1 -11.034 83.864 115.73 1699.30 1197.9 169.25
157 2.3258E-05 12.291 -2673.5 -9.5491 83.883 115.85 1687.20 1133.8 168.45
159 3.0374E-05 12.259 -2441.7 -8.0818 83.906 115.98 1675.20 1075.2 167.64
161 3.9370E-05 12.227 -2209.6 -6.6312 83.933 116.11 1663.20 1021.4 166.82
163 5.0664E-05 12.194 -1977.2 -5.1968 83.965 116.25 1651.30 971.95 165.99
165 6.4747E-05 12.162 -1744.6 -3.7782 84.002 116.39 1639.50 926.37 165.15
167 8.2193E-05 12.130 -1511.6 -2.3750 84.044 116.54 1627.70 884.28 164.30
169 0.00010367 12.098 -1278.4 -0.98666 84.092 116.69 1616.00 845.31 163.44
171 0.00012996 12.066 -1044.9 0.38715 84.145 116.85 1604.30 809.16 162.58
173 0.00016194 12.034 -810.99 1.7469 84.204 117.02 1592.60 775.56 161.70
175 0.00020064 12.002 -576.79 3.0928 84.269 117.19 1581.00 744.25 160.82
177 0.00024721 11.969 -342.24 4.4255 84.340 117.36 1569.40 715.03 159.94
179 0.00030297 11.937 -107.33 5.7452 84.418 117.54 1557.90 687.71 159.04
181 0.00036941 11.905 127.95 7.0523 84.501 117.73 1546.40 662.11 158.14
183 0.00044817 11.873 363.61 8.3471 84.592 117.93 1534.90 638.07 157.24
185 0.00054113 11.840 599.67 9.6300 84.688 118.13 1523.40 615.48 156.33
187 0.00065035 11.808 836.14 10.901 84.792 118.34 1512.00 594.20 155.41
189 0.00077813 11.775 1073.0 12.161 84.902 118.55 1500.60 574.13 154.49
191 0.0009270 11.743 1310.4 13.410 85.018 118.77 1489.20 555.16 153.57
193 0.0010997 11.710 1548.2 14.649 85.142 119.00 1477.80 537.22 152.64
195 0.0012994 11.678 1786.4 15.877 85.272 119.24 1466.50 520.21 151.71
197 0.0015293 11.645 2025.1 17.095 85.409 119.48 1455.20 504.08 150.78
199 0.0017931 11.612 2264.4 18.303 85.553 119.73 1443.90 488.76 149.84
201 0.0020948 11.580 2504.1 19.501 85.704 119.99 1432.60 474.18 148.90
203 0.0024385 11.547 2744.3 20.691 85.861 120.25 1421.30 460.30 147.96
205 0.0028290 11.514 2985.1 21.871 86.026 120.52 1410.10 447.06 147.02
207 0.0032710 11.481 3226.5 23.042 86.197 120.80 1398.80 434.43 146.07
209 0.0037700 11.448 3468.4 24.205 86.375 121.09 1387.60 422.36 145.12
211 0.0043316 11.415 3710.9 25.360 86.559 121.38 1376.40 410.82 144.17
213 0.0049618 11.382 3954.0 26.506 86.751 121.68 1365.20 399.77 143.23
215 0.0056671 11.349 4197.7 27.645 86.949 121.99 1354.10 389.19 142.28
217 0.0064543 11.316 4442.1 28.776 87.153 122.31 1342.90 379.04 141.33
219 0.0073306 11.282 4687.0 29.899 87.365 122.63 1331.80 369.29 140.38
221 0.0083037 11.249 4932.7 31.015 87.582 122.96 1320.60 359.94 139.43
223 0.0093815 11.215 5179.0 32.124 87.807 123.30 1309.50 350.94 138.48
225 0.010573 11.182 5426.1 33.227 88.037 123.65 1298.40 342.29 137.53
227 0.011886 11.148 5673.8 34.322 88.274 124.01 1287.40 333.96 136.58
229 0.013331 11.114 5922.2 35.411 88.517 124.37 1276.30 325.94 135.63
231 0.014917 11.080 6171.4 36.494 88.767 124.74 1265.20 318.20 134.68
233 0.016655 11.046 6421.4 37.571 89.022 125.12 1254.20 310.74 133.74
235 0.018554 11.012 6672.1 38.642 89.284 125.50 1243.20 303.54 132.80
237 0.020627 10.978 6923.6 39.707 89.551 125.90 1232.10 296.59 131.85
239 0.022885 10.943 7176.0 40.766 89.824 126.30 1221.10 289.88 130.91
241 0.025338 10.909 7429.1 41.820 90.104 126.71 1210.20 283.38 129.98
243 0.028001 10.874 7683.1 42.868 90.388 127.12 1199.20 277.10 129.04
245 0.030885 10.840 7937.9 43.912 90.679 127.55 1188.20 271.02 128.11
247 0.034005 10.805 8193.6 44.950 90.975 127.98 1177.30 265.14 127.18
249 0.037372 10.770 8450.2 45.983 91.276 128.42 1166.30 259.44 126.25
251 0.041002 10.735 8707.7 47.012 91.583 128.87 1155.40 253.91 125.32
253 0.044908 10.700 8966.1 48.036 91.894 129.32 1144.50 248.55 124.40
255 0.049106 10.664 9225.4 49.055 92.211 129.79 1133.60 243.35 123.48
257 0.053611 10.629 9485.7 50.070 92.534 130.26 1122.70 238.31 122.57
259 0.058438 10.593 9747.0 51.081 92.861 130.74 1111.80 233.41 121.65
261 0.063604 10.557 10009 52.088 93.193 131.23 1101.00 228.65 120.75
263 0.069124 10.521 10272 53.091 93.529 131.73 1090.10 224.03 119.84
265 0.075015 10.485 10537 54.090 93.871 132.23 1079.30 219.53 118.94
267 0.081295 10.449 10802 55.085 94.217 132.74 1068.40 215.16 118.04
269 0.087981 10.412 11068 56.076 94.567 133.26 1057.60 210.91 117.15
271 0.095090 10.375 11336 57.064 94.922 133.79 1046.80 206.76 116.26
273 0.10264 10.338 11604 58.049 95.281 134.33 1036.00 202.73 115.38
275 0.11065 10.301 11874 59.030 95.645 134.88 1025.20 198.80 114.50
277 0.11914 10.264 12145 60.007 96.012 135.43 1014.40 194.97 113.62
279 0.12813 10.227 12416 60.982 96.384 135.99 1003.60 191.24 112.75
281 0.13763 10.189 12689 61.954 96.760 136.57 992.87 187.60 111.89
D4650 − 19
TABLE 1 Continued
Tp ρ HS C C c ηλ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K MPa mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s µPa·s mW·m ·K
283 0.14768 10.151 12964 62.923 97.139 137.15 982.11 184.05 111.03
285 0.15828 10.113 13239 63.889 97.522 137.74 971.36 180.58 110.17
287 0.16945 10.074 13516 64.852 97.909 138.34 960.61 177.19 109.33
289 0.18122 10.036 13793 65.812 98.300 138.95 949.87 173.89 108.48
291 0.19362 9.9968 14072 66.770 98.694 139.56 939.14 170.66 107.64
293 0.20665 9.9577 14353 67.726 99.092 140.19 928.41 167.50 106.81
295 0.22034 9.9183 14634 68.679 99.494 140.83 917.68 164.41 105.98
297 0.23471 9.8786 14917 69.630 99.898 141.48 906.96 161.39 105.16
299 0.24979 9.8387 15201 70.578 100.31 142.14 896.24 158.43 104.34
301 0.26559 9.7985 15487 71.525 100.72 142.81 885.52 155.54 103.53
303 0.28214 9.7579 15774 72.469 101.13 143.49 874.80 152.71 102.72
305 0.29946 9.7171 16062 73.412 101.55 144.18 864.09 149.93 101.92
307 0.31757 9.6760 16352 74.352 101.97 144.88 853.37 147.21 101.12
309 0.33650 9.6345 16643 75.291 102.39 145.59 842.65 144.54 100.33
311 0.35627 9.5927 16936 76.228 102.82 146.32 831.93 141.93 99.552
313 0.37690 9.5506 17230 77.164 103.25 147.06 821.21 139.36 98.774
315 0.39842 9.5081 17525 78.098 103.68 147.81 810.48 136.85 98.003
317 0.42084 9.4652 17822 79.030 104.12 148.58 799.74 134.38 97.237
319 0.44420 9.4220 18121 79.961 104.56 149.36 789.00 131.95 96.478
321 0.46852 9.3784 18421 80.891 105.00 150.16 778.25 129.57 95.725
323 0.49382 9.3343 18723 81.820 105.44 150.97 767.49 127.23 94.978
325 0.52012 9.2899 19026 82.747 105.89 151.79 756.71 124.93 94.236
327 0.54746 9.2450 19331 83.674 106.34 152.64 745.93 122.67 93.502
329 0.57585 9.1996 19638 84.599 106.79 153.50 735.13 120.44 92.773
331 0.60532 9.1538 19946 85.524 107.25 154.38 724.32 118.25 92.050
333 0.63590 9.1075 20256 86.448 107.70 155.28 713.48 116.10 91.334
335 0.66761 9.0607 20568 87.371 108.17 156.20 702.63 113.98 90.623
337 0.70048 9.0134 20882 88.294 108.63 157.14 691.75 111.89 89.919
339 0.73453 8.9656 21197 89.216 109.10 158.10 680.85 109.83 89.222
341 0.76979 8.9171 21514 90.138 109.57 159.09 669.93 107.81 88.530
343 0.80629 8.8681 21834 91.059 110.04 160.11 658.97 105.81 87.844
345 0.84406 8.8185 22155 91.981 110.52 161.15 647.99 103.83 87.165
347 0.88311 8.7683 22478 92.902 111.00 162.22 636.97 101.89 86.492
349 0.92348 8.7173 22803 93.823 111.49 163.32 625.91 99.970 85.824
351 0.96521 8.6657 23131 94.745 111.97 164.46 614.82 98.075 85.163
353 1.0083 8.6134 23460 95.667 112.47 165.63 603.68 96.204 84.508
355 1.0528 8.5603 23792 96.589 112.96 166.84 592.49 94.355 83.859
357 1.0987 8.5065 24126 97.512 113.46 168.09 581.26 92.528 83.216
359 1.1461 8.4517 24462 98.435 113.97 169.39 569.97 90.722 82.578
361 1.1950 8.3962 24800 99.359 114.48 170.74 558.63 88.935 81.946
363 1.2454 8.3397 25141 100.28 115.00 172.14 547.22 87.167 81.320
365 1.2974 8.2822 25485 101.21 115.52 173.60 535.75 85.417 80.700
367 1.3509 8.2237 25831 102.14 116.05 175.13 524.21 83.684 80.084
369 1.4061 8.1642 26180 103.07 116.58 176.72 512.59 81.967 79.475
371 1.4629 8.1035 26531 104.00 117.12 178.40 500.90 80.265 78.870
373 1.5214 8.0416 26886 104.93 117.67 180.16 489.12 78.577 78.271
375 1.5816 7.9783 27243 105.87 118.23 182.02 477.25 76.902 77.676
377 1.6436 7.9138 27603 106.81 118.79 184.00 465.28 75.238 77.086
379 1.7074 7.8477 27967 107.75 119.37 186.09 453.21 73.585 76.501
381 1.7730 7.7801 28334 108.69 119.95 188.33 441.03 71.942 75.921
383 1.8404 7.7108 28705 109.64 120.55 190.72 428.73 70.307 75.344
385 1.9098 7.6397 29080 110.59 121.16 193.31 416.32 68.679 74.772
387 1.9811 7.5666 29458 111.55 121.79 196.10 403.77 67.056 74.203
389 2.0544 7.4913 29841 112.51 122.42 199.15 391.08 65.437 73.638
391 2.1298 7.4137 30228 113.48 123.08 202.48 378.24 63.820 73.077
393 2.2072 7.3335 30621 114.45 123.75 206.17 365.25 62.203 72.519
395 2.2868 7.2504 31018 115.43 124.45 210.28 352.08 60.583 71.964
397 2.3686 7.1642 31421 116.42 125.16 214.89 338.74 58.958 71.412
399 2.4526 7.0743 31831 117.42 125.90 220.14 325.20 57.324 70.864
401 2.5389 6.9805 32248 118.43 126.67 226.18 311.45 55.678 70.319
403 2.6276 6.8820 32672 119.46 127.47 233.23 297.48 54.014 69.779
405 2.7187 6.7782 33105 120.49 128.31 241.60 283.26 52.328 69.245
407 2.8124 6.6682 33549 121.55 129.19 251.74 268.78 50.612 68.720
409 2.9087 6.5506 34004 122.63 130.12 264.33 254.01 48.856 68.209
411 3.0077 6.4239 34474 123.74 131.11 280.44 238.91 47.047 67.721
413 3.1095 6.2858 34962 124.89 132.18 301.89 223.46 45.168 67.274
415 3.2142 6.1328 35473 126.08 133.34 331.95 207.59 43.192 66.904
417 3.3219 5.9597 36014 127.34 134.63 377.22 191.25 41.080 66.689
419 3.4329 5.7569 36601 128.70 136.13 453.23 174.33 38.761 66.824
421 3.5474 5.5057 37261 130.22 137.97 607.03 156.63 36.101 67.898
423 3.6656 5.1554 38071 132.09 140.57 1074.8 137.67 32.776 72.300
425 3.7881 4.3042 39674 135.81 147.29 21816 114.85 27.096 137.01
425.12 3.7957 4.0037 40191 137.02 149.26 648340 112.67 25.373 501.00
D4650 − 19
TABLE 2 Thermophysical Properties of Normal Butane Vapor at Vapor-LIquid Equilibrium
Tp ρ HS C C c ηλ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K MPa mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s µPa·s mW·m ·K
135 6.7910E-07 6.0501E-07 23611 186.53 56.015 64.330 148.92 3.3445 4.8593
137 9.8726E-07 8.6672E-07 23740 184.37 56.434 64.748 149.95 3.3955 4.9511
139 1.4181E-06 1.2270E-06 23869 182.30 56.845 65.160 150.97 3.4464 5.0443
141 2.0137E-06 1.7177E-06 24000 180.32 57.250 65.565 151.98 3.4973 5.1387
143 2.8282E-06 2.3787E-06 24132 178.42 57.649 65.964 152.99 3.5481 5.2343
145 3.9306E-06 3.2603E-06 24264 176.60 58.042 66.357 153.99 3.5989 5.3313
147 5.4080E-06 4.4248E-06 24397 174.86 58.430 66.745 154.98 3.6497 5.4295
149 7.3695E-06 5.9487E-06 24531 173.19 58.813 67.129 155.97 3.7005 5.5291
151 9.9501E-06 7.9255E-06 24666 171.59 59.193 67.509 156.95 3.7512 5.6299
153 1.3316E-05 1.0468E-05 24801 170.06 59.568 67.885 157.93 3.8020 5.7319
155 1.7670E-05 1.3712E-05 24937 168.59 59.941 68.258 158.89 3.8526 5.8353
157 2.3258E-05 1.7818E-05 25074 167.19 60.310 68.628 159.85 3.9033 5.9400
159 3.0374E-05 2.2977E-05 25211 165.84 60.677 68.996 160.81 3.9539 6.0459
161 3.9370E-05 2.9414E-05 25350 164.54 61.042 69.361 161.76 4.0045 6.1531
163 5.0664E-05 3.7388E-05 25488 163.30 61.406 69.726 162.70 4.0550 6.2616
165 6.4747E-05 4.7203E-05 25628 162.12 61.768 70.089 163.63 4.1055 6.3713
167 8.2193E-05 5.9206E-05 25768 160.98 62.129 70.452 164.56 4.1560 6.4824
169 0.00010367 7.3797E-05 25909 159.89 62.489 70.814 165.48 4.2064 6.5947
171 0.00012996 9.1430E-05 26051 158.84 62.850 71.177 166.40 4.2568 6.7083
173 0.00016194 0.00011262 26193 157.84 63.210 71.540 167.31 4.3072 6.8231
175 0.00020064 0.00013795 26337 156.88 63.571 71.903 168.21 4.3575 6.9392
177 0.00024721 0.00016806 26480 155.96 63.933 72.268 169.10 4.4077 7.0566
179 0.00030297 0.00020368 26625 155.09 64.296 72.634 169.99 4.4579 7.1753
181 0.00036941 0.00024562 26770 154.24 64.660 73.002 170.87 4.5081 7.2952
183 0.00044817 0.00029476 26915 153.44 65.025 73.372 171.75 4.5582 7.4164
185 0.00054113 0.00035209 27062 152.67 65.393 73.744 172.61 4.6082 7.5389
187 0.00065035 0.00041869 27208 151.93 65.762 74.119 173.47 4.6582 7.6626
189 0.00077813 0.00049572 27356 151.22 66.134 74.497 174.32 4.7082 7.7876
191 0.00092700 0.00058446 27504 150.55 66.508 74.878 175.17 4.7580 7.9138
193 0.0010997 0.00068631 27653 149.91 66.885 75.263 176.01 4.8078 8.0413
195 0.0012994 0.00080276 27802 149.29 67.264 75.651 176.83 4.8576 8.1701
197 0.0015293 0.00093542 27952 148.71 67.647 76.044 177.66 4.9072 8.3000
199 0.0017931 0.0010860 28103 148.15 68.033 76.440 178.47 4.9568 8.4313
201 0.0020948 0.0012564 28254 147.61 68.423 76.841 179.27 5.0063 8.5638
203 0.0024385 0.0014486 28406 147.10 68.815 77.246 180.07 5.0558 8.6975
205 0.0028290 0.0016647 28558 146.62 69.212 77.657 180.85 5.1051 8.8324
207 0.0032710 0.0019069 28711 146.16 69.612 78.072 181.63 5.1544 8.9686
209 0.0037700 0.0021776 28865 145.72 70.017 78.492 182.40 5.2036 9.1061
211 0.0043316 0.0024792 29019 145.30 70.425 78.918 183.15 5.2527 9.2448
213 0.0049618 0.0028145 29173 144.91 70.838 79.349 183.90 5.3018 9.3847
215 0.0056671 0.0031862 29328 144.53 71.254 79.787 184.64 5.3507 9.5258
217 0.0064543 0.0035973 29484 144.18 71.675 80.229 185.37 5.3995 9.6682
219 0.0073306 0.0040506 29640 143.84 72.101 80.678 186.08 5.4483 9.8118
221 0.0083037 0.0045495 29797 143.52 72.530 81.134 186.79 5.4970 9.9567
223 0.0093815 0.0050973 29954 143.22 72.965 81.595 187.48 5.5456 10.103
225 0.010573 0.0056973 30111 142.94 73.403 82.063 188.16 5.5940 10.250
227 0.011886 0.0063533 30269 142.67 73.847 82.537 188.83 5.6424 10.399
229 0.013331 0.0070689 30428 142.42 74.295 83.018 189.49 5.6907 10.548
231 0.014917 0.0078481 30587 142.19 74.747 83.506 190.13 5.7389 10.699
233 0.016655 0.0086947 30746 141.97 75.205 84.001 190.77 5.7870 10.852
235 0.018554 0.0096130 30906 141.76 75.667 84.503 191.39 5.8351 11.005
237 0.020627 0.010607 31066 141.57 76.134 85.011 191.99 5.8830 11.160
239 0.022885 0.011682 31227 141.40 76.605 85.527 192.58 5.9309 11.316
241 0.025338 0.012841 31388 141.23 77.081 86.051 193.16 5.9786 11.473
243 0.028001 0.014090 31549 141.08 77.562 86.581 193.72 6.0263 11.632
245 0.030885 0.015434 31711 140.94 78.047 87.120 194.27 6.0739 11.792
247 0.034005 0.016877 31873 140.82 78.537 87.665 194.80 6.1214 11.953
249 0.037372 0.018424 32035 140.70 79.032 88.219 195.32 6.1689 12.116
251 0.041002 0.020081 32198 140.60 79.531 88.780 195.82 6.2163 12.280
253 0.044908 0.021853 32361 140.51 80.035 89.349 196.30 6.2636 12.445
255 0.049106 0.023746 32524 140.42 80.544 89.926 196.77 6.3109 12.611
257 0.053611 0.025765 32688 140.35 81.057 90.511 197.22 6.3581 12.779
259 0.058438 0.027915 32852 140.29 81.575 91.104 197.65 6.4053 12.949
261 0.063604 0.030204 33016 140.24 82.097 91.705 198.07 6.4524 13.119
263 0.069124 0.032636 33180 140.19 82.623 92.315 198.47 6.4995 13.292
265 0.075015 0.035219 33345 140.16 83.154 92.933 198.85 6.5466 13.465
267 0.081295 0.037958 33509 140.13 83.689 93.560 199.21 6.5937 13.640
269 0.087981 0.040860 33674 140.11 84.228 94.195 199.55 6.6407 13.817
271 0.095090 0.043931 33840 140.10 84.772 94.839 199.87 6.6878 13.995
273 0.10264 0.047179 34005 140.10 85.320 95.492 200.18 6.7348 14.175
275 0.11065 0.050611 34170 140.11 85.872 96.154 200.46 6.7819 14.357
277 0.11914 0.054232 34336 140.12 86.428 96.825 200.72 6.8290 14.540
279 0.12813 0.058052 34502 140.14 86.988 97.506 200.96 6.8761 14.725
281 0.13763 0.062077 34667 140.17 87.552 98.196 201.18 6.9233 14.912
D4650 − 19
TABLE 2 Continued
Tp ρ HS C C c ηλ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K MPa mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s µPa·s mW·m ·K
283 0.14768 0.066316 34833 140.20 88.120 98.896 201.38 6.9706 15.100
285 0.15828 0.070775 34999 140.24 88.692 99.605 201.56 7.0180 15.291
287 0.16945 0.075463 35165 140.29 89.267 100.33 201.71 7.0654 15.483
289 0.18122 0.080389 35331 140.34 89.847 101.06 201.85 7.1130 15.677
291 0.19362 0.085560 35497 140.40 90.430 101.80 201.96 7.1606 15.874
293 0.20665 0.090986 35663 140.46 91.017 102.55 202.04 7.2084 16.072
295 0.22034 0.096676 35829 140.53 91.607 103.31 202.10 7.2564 16.273
297 0.23471 0.10264 35995 140.60 92.201 104.08 202.14 7.3045 16.476
299 0.24979 0.10888 36161 140.68 92.798 104.87 202.15 7.3529 16.681
301 0.26559 0.11542 36326 140.76 93.399 105.67 202.14 7.4014 16.888
303 0.28214 0.12226 36492 140.85 94.004 106.48 202.10 7.4502 17.099
305 0.29946 0.12941 36657 140.94 94.611 107.30 202.04 7.4992 17.311
307 0.31757 0.13689 36823 141.03 95.222 108.14 201.95 7.5485 17.527
309 0.33650 0.14470 36988 141.13 95.837 108.99 201.83 7.5981 17.745
311 0.35627 0.15286 37152 141.23 96.454 109.85 201.69 7.6480 17.966
313 0.37690 0.16138 37317 141.34 97.075 110.73 201.52 7.6983 18.190
315 0.39842 0.17027 37481 141.45 97.699 111.63 201.32 7.7490 18.417
317 0.42084 0.17954 37645 141.56 98.327 112.54 201.09 7.8001 18.647
319 0.44420 0.18921 37809 141.68 98.957 113.47 200.83 7.8516 18.881
321 0.46852 0.19929 37972 141.80 99.591 114.41 200.54 7.9036 19.118
323 0.49382 0.20980 38135 141.92 100.23 115.38 200.22 7.9561 19.359
325 0.52012 0.22075 38297 142.04 100.87 116.36 199.87 8.0091 19.604
327 0.54746 0.23215 38459 142.17 101.51 117.36 199.48 8.0628 19.853
329 0.57585 0.24403 38620 142.30 102.16 118.39 199.07 8.1171 20.105
331 0.60532 0.25640 38781 142.43 102.81 119.44 198.62 8.1720 20.363
333 0.63590 0.26929 38941 142.56 103.46 120.51 198.14 8.2277 20.624
335 0.66761 0.28270 39100 142.69 104.12 121.61 197.62 8.2842 20.890
337 0.70048 0.29666 39259 142.83 104.78 122.73 197.06 8.3415 21.162
339 0.73453 0.31119 39417 142.96 105.44 123.89 196.47 8.3997 21.438
341 0.76979 0.32632 39574 143.10 106.10 125.07 195.85 8.4589 21.720
343 0.80629 0.34206 39730 143.24 106.76 126.28 195.18 8.5191 22.007
345 0.84406 0.35845 39886 143.37 107.43 127.53 194.48 8.5804 22.300
347 0.88311 0.37550 40040 143.51 108.10 128.81 193.73 8.6428 22.600
349 0.92348 0.39326 40193 143.65 108.76 130.13 192.95 8.7066 22.906
351 0.96521 0.41175 40346 143.79 109.43 131.49 192.12 8.7717 23.219
353 1.0083 0.43100 40496 143.93 110.10 132.90 191.25 8.8383 23.539
355 1.0528 0.45105 40646 144.07 110.77 134.35 190.34 8.9064 23.867
357 1.0987 0.47194 40794 144.20 111.45 135.86 189.38 8.9763 24.202
359 1.1461 0.49370 40941 144.34 112.12 137.44 188.37 9.0479 24.547
361 1.1950 0.51639 41086 144.47 112.80 139.08 187.32 9.1216 24.900
363 1.2454 0.54004 41229 144.60 113.48 140.79 186.22 9.1973 25.263
365 1.2974 0.56471 41370 144.73 114.17 142.59 185.07 9.2754 25.636
367 1.3509 0.59046 41509 144.86 114.86 144.49 183.86 9.3560 26.020
369 1.4061 0.61735 41646 144.98 115.56 146.49 182.61 9.4392 26.415
371 1.4629 0.64544 41781 145.10 116.27 148.61 181.29 9.5254 26.823
373 1.5214 0.67480 41913 145.22 116.99 150.87 179.93 9.6148 27.244
375 1.5816 0.70553 42043 145.33 117.73 153.28 178.50 9.7077 27.680
377 1.6436 0.73770 42169 145.44 118.47 155.85 177.01 9.8044 28.131
379 1.7074 0.77141 42293 145.55 119.24 158.62 175.46 9.9053 28.599
381 1.7730 0.80678 42413 145.64 120.01 161.61 173.84 10.011 29.085
383 1.8404 0.84392 42529 145.73 120.81 164.85 172.16 10.121 29.592
385 1.9098 0.88298 42641 145.82 121.62 168.37 170.41 10.237 30.121
387 1.9811 0.92411 42750 145.89 122.46 172.23 168.58 10.360 30.675
389 2.0544 0.96749 42853 145.96 123.31 176.46 166.69 10.489 31.257
391 2.1298 1.0133 42951 146.02 124.18 181.14 164.71 10.626 31.869
393 2.2072 1.0618 43044 146.06 125.08 186.36 162.65 10.772 32.516
395 2.2868 1.1133 43130 146.09 126.00 192.20 160.51 10.927 33.203
397 2.3686 1.1681 43209 146.11 126.95 198.82 158.28 11.094 33.936
399 2.4526 1.2266 43281 146.12 127.92 206.37 155.97 11.274 34.723
401 2.5389 1.2891 43344 146.10 128.93 215.09 153.55 11.468 35.573
403 2.6276 1.3564 43396 146.07 129.97 225.31 151.04 11.680 36.497
405 2.7187 1.4291 43437 146.01 131.06 237.46 148.41 11.913 37.514
407 2.8124 1.5080 43465 145.92 132.19 252.18 145.68 12.170 38.644
409 2.9087 1.5944 43476 145.79 133.38 270.43 142.83 12.456 39.918
411 3.0077 1.6898 43469 145.63 134.65 293.73 139.85 12.780 41.380
413 3.1095 1.7962 43438 145.41 136.00 324.58 136.74 13.151 43.096
415 3.2142 1.9169 43376 145.13 137.48 367.52 133.47 13.584 45.175
417 3.3219 2.0567 43275 144.75 139.12 431.61 130.02 14.103 47.804
419 3.4329 2.2240 43115 144.24 141.00 538.03 126.37 14.751 51.355
421 3.5474 2.4360 42861 143.52 143.26 750.33 122.47 15.617 56.723
423 3.6656 2.7399 42419 142.37 146.19 1383.4 118.16 16.975 67.053
425 3.7881 3.5364 41020 138.97 150.45 26744 112.63 21.993 151.07
425.12 3.7957 3.8414 40474 137.68 149.99 685360 112.3 24.281 522.98
D4650 − 19
TABLE 3 Thermophysical Properties of Normal Butane Along Isobars
T ρ HS C C c ηλ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s µPa·s mW·m ·K
Pressure = 0.1 MPa
140 12.564 -4628.2 -22.780 83.808 114.91 1793.4 1941.2 174.87
150 12.404 -3476.5 -14.834 83.837 115.44 1730.2 1387.9 171.22
160 12.243 -2319.2 -7.3651 83.924 116.04 1669.6 1048.8 167.26
170 12.083 -1155.3 -0.308
...

This document is not an ASTM standard and is intended only to provide the user of an ASTM standard an indication of what changes have been made to the previous version. Because
it may not be technically possible to adequately depict all changes accurately, ASTM recommends that users consult prior editions as appropriate. In all cases only the current version
of the standard as published by ASTM is to be considered the official document.
Designation: D4650 − 14 D4650 − 19
Standard Specification for
Normal Butane Thermophysical Property Tables
This standard is issued under the fixed designation D4650; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope
1.1 The thermophysical property tables for normal butane are for use in the calculation of the pressure-volume-temperature
(PVT), thermodynamic, and transport properties of normal butane for process design and operations. Two tables provide properties
at the conditions of liquid-vapor equilibrium (saturation properties), one for liquid and one for vapor, at temperatures between 135
K and the critical point, 425.13 K. A third table provides properties at selected T,p points for the equilibrium phase at temperatures
between 140 K and 560570 K at pressures to 20 MPa. The tables were developed using the National Institute of Standards and
Technology Standard Reference Database product REFPROP, version 9.1.10.0.
1.2 The values stated in SI units are to be regarded as standard. No other units of measurement are included in this standard.
1.3 This international standard was developed in accordance with internationally recognized principles on standardization
established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued
by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
2. Applicability
2.1 These tables apply directly only to pure normal butane. They may also be used in mathematical models and tables for the
thermophysical properties of mixtures containing normal butane.
3. Tables
3.1 These tables were produced by equations from a computer package, “NIST Standard Reference Database 23; Reference
Fluid Thermodynamic and Transport Properties Database (REFPROP): Version 9.1.”10.0.” A wide selection of units (SI units,
engineering units, chemical units) and additional properties are available with this program.
3.2 These thermophysical property tables are:
3.2.1 Thermophysical Properties of Normal Butane Liquid at Vapor-Liquid Equilibrium, in SI units. See Table 1.
3.2.2 Thermophysical Properties of Normal Butane Vapor at Vapor-Liquid Equilibrium, in SI units. See Table 2.
3.2.3 Thermophysical Properties of Normal Butane Along Isobars, in SI units. See Table 3.
3.3 The symbols are:
T, temperature (K)
-1
)
ρ, molar density (mol·L
-1
H, molar enthalpy (J·mol )
-1 -1
S, molar entropy (J·K ·mol )
-1 -1
Cv, constant volume molar heat capacity (J·K ·mol )
-1 -1
Cp, constant pressure molar heat capacity (J·K ·mol )
-1
c, speed of sound (m·s )
η, viscosity (μPa·s)
-1 -1
λ, thermal conductivity (mW·m ·K )
3.4 The tabulated thermophysical properties are:
-1
ρ, molar density (mol·L )
-1
H, molar enthalpy (J·mol )
This specification is under the jurisdiction of ASTM Committee D03 on Gaseous Fuels and is the direct responsibility of Subcommittee D03.08 on Thermophysical
Properties.
Current edition approved June 1, 2014April 1, 2019. Published July 2014May 2019. Originally approved in 1987. Last previous edition approved in 20082014 as
D4650 – 08.D4650 – 14. DOI: 10.1520/D4650-14.10.1520/D4650-19.
Available from Standard Reference Data, National Institute of Standards and Technology (NIST), 100 Bureau Drive,Dr., Stop 3460,1070, Gaithersburg, MD
20899.20899-1070, http://www.nist.gov.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
D4650 − 19
TABLE 1 Thermophysical Properties of Normal Butane Liquid at Vapor-Liquid Equilibrium
T p ρ H S C C c η λ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K MPa mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s μPa·s mW·m ·K
135 6.7910E-07 12.643 -5208.7 -26.944 83.783 114.67 1826.10 2294.1 176.52
137 9.8726E-07 12.611 -4979.3 -25.257 83.793 114.77 1812.80 2114.2 175.86
139 1.4181E-06 12.579 -4749.6 -23.593 83.799 114.87 1799.60 1958.0 175.18
141 2.0137E-06 12.547 -4519.8 -21.951 83.805 114.97 1786.60 1821.1 174.49
143 2.8282E-06 12.515 -4289.8 -20.331 83.809 115.07 1773.70 1700.2 173.78
145 3.9306E-06 12.483 -4059.5 -18.732 83.814 115.17 1761.00 1592.7 173.06
147 5.4080E-06 12.451 -3829.1 -17.154 83.819 115.27 1748.50 1496.5 172.32
149 7.3695E-06 12.419 -3598.4 -15.596 83.827 115.38 1736.00 1409.9 171.57
151 9.9501E-06 12.387 -3367.6 -14.056 83.836 115.50 1723.70 1331.5 170.81
153 1.3316E-05 12.355 -3136.5 -12.536 83.848 115.61 1711.40 1260.3 170.03
155 1.7670E-05 12.323 -2905.1 -11.034 83.864 115.73 1699.30 1195.3 169.24
157 2.3258E-05 12.291 -2673.5 -9.5491 83.883 115.85 1687.20 1135.7 168.44
159 3.0374E-05 12.259 -2441.7 -8.0818 83.906 115.98 1675.20 1081.0 167.63
161 3.9370E-05 12.227 -2209.6 -6.6312 83.933 116.11 1663.20 1030.5 166.81
163 5.0664E-05 12.194 -1977.2 -5.1968 83.965 116.25 1651.30 983.74 165.98
165 6.4747E-05 12.162 -1744.6 -3.7782 84.002 116.39 1639.50 940.39 165.14
167 8.2193E-05 12.130 -1511.6 -2.3750 84.044 116.54 1627.70 900.09 164.29
169 0.00010367 12.098 -1278.4 -0.98666 84.092 116.69 1616.00 862.52 163.43
171 0.00012996 12.066 -1044.9 0.38715 84.145 116.85 1604.30 827.43 162.57
173 0.00016194 12.034 -810.99 1.7469 84.204 117.02 1592.60 794.58 161.69
175 0.00020064 12.002 -576.79 3.0928 84.269 117.19 1581.00 763.78 160.81
177 0.00024721 11.969 -342.24 4.4255 84.340 117.36 1569.40 734.84 159.93
179 0.00030297 11.937 -107.33 5.7452 84.418 117.54 1557.90 707.60 159.03
181 0.00036941 11.905 127.95 7.0523 84.501 117.73 1546.40 681.93 158.13
183 0.00044817 11.873 363.61 8.3471 84.592 117.93 1534.90 657.70 157.23
185 0.00054113 11.840 599.67 9.6300 84.688 118.13 1523.40 634.79 156.32
187 0.00065035 11.808 836.14 10.901 84.792 118.34 1512.00 613.11 155.40
189 0.00077813 11.775 1073.0 12.161 84.902 118.55 1500.60 592.57 154.48
191 0.0009270 11.743 1310.4 13.410 85.018 118.77 1489.20 573.07 153.56
193 0.0010997 11.710 1548.2 14.649 85.142 119.00 1477.80 554.55 152.63
195 0.0012994 11.678 1786.4 15.877 85.272 119.24 1466.50 536.94 151.70
197 0.0015293 11.645 2025.1 17.095 85.409 119.48 1455.20 520.18 150.76
199 0.0017931 11.612 2264.4 18.303 85.553 119.73 1443.90 504.21 149.83
201 0.0020948 11.580 2504.1 19.501 85.704 119.99 1432.60 488.97 148.89
203 0.0024385 11.547 2744.3 20.691 85.861 120.25 1421.30 474.43 147.94
205 0.0028290 11.514 2985.1 21.871 86.026 120.52 1410.10 460.54 147.00
207 0.0032710 11.481 3226.5 23.042 86.197 120.80 1398.80 447.25 146.05
209 0.0037700 11.448 3468.4 24.205 86.375 121.09 1387.60 434.54 145.11
211 0.0043316 11.415 3710.9 25.360 86.559 121.38 1376.40 422.36 144.16
213 0.0049618 11.382 3954.0 26.506 86.751 121.68 1365.20 410.69 143.21
215 0.0056671 11.349 4197.7 27.645 86.949 121.99 1354.10 399.50 142.26
217 0.0064543 11.316 4442.1 28.776 87.153 122.31 1342.90 388.76 141.31
219 0.0073306 11.282 4687.0 29.899 87.365 122.63 1331.80 378.45 140.36
221 0.0083037 11.249 4932.7 31.015 87.582 122.96 1320.60 368.54 139.40
223 0.0093815 11.215 5179.0 32.124 87.807 123.30 1309.50 359.01 138.45
225 0.010573 11.182 5426.1 33.227 88.037 123.65 1298.40 349.84 137.50
227 0.011886 11.148 5673.8 34.322 88.274 124.01 1287.40 341.01 136.55
229 0.013331 11.114 5922.2 35.411 88.517 124.37 1276.30 332.51 135.61
231 0.014917 11.080 6171.4 36.494 88.767 124.74 1265.20 324.32 134.66
233 0.016655 11.046 6421.4 37.571 89.022 125.12 1254.20 316.42 133.71
235 0.018554 11.012 6672.1 38.642 89.284 125.50 1243.20 308.79 132.77
237 0.020627 10.978 6923.6 39.707 89.551 125.90 1232.10 301.44 131.83
239 0.022885 10.943 7176.0 40.766 89.824 126.30 1221.10 294.33 130.89
241 0.025338 10.909 7429.1 41.820 90.104 126.71 1210.20 287.47 129.95
243 0.028001 10.874 7683.1 42.868 90.388 127.12 1199.20 280.83 129.02
245 0.030885 10.840 7937.9 43.912 90.679 127.55 1188.20 274.41 128.09
247 0.034005 10.805 8193.6 44.950 90.975 127.98 1177.30 268.20 127.16
249 0.037372 10.770 8450.2 45.983 91.276 128.42 1166.30 262.20 126.23
251 0.041002 10.735 8707.7 47.012 91.583 128.87 1155.40 256.38 125.31
253 0.044908 10.700 8966.1 48.036 91.894 129.32 1144.50 250.74 124.39
255 0.049106 10.664 9225.4 49.055 92.211 129.79 1133.60 245.27 123.47
257 0.053611 10.629 9485.7 50.070 92.534 130.26 1122.70 239.98 122.55
259 0.058438 10.593 9747.0 51.081 92.861 130.74 1111.80 234.84 121.64
261 0.063604 10.557 10009 52.088 93.193 131.23 1101.00 229.85 120.74
263 0.069124 10.521 10272 53.091 93.529 131.73 1090.10 225.01 119.83
265 0.075015 10.485 10537 54.090 93.871 132.23 1079.30 220.31 118.93
267 0.081295 10.449 10802 55.085 94.217 132.74 1068.40 215.74 118.04
269 0.087981 10.412 11068 56.076 94.567 133.26 1057.60 211.30 117.15
271 0.095090 10.375 11336 57.064 94.922 133.79 1046.80 206.99 116.26
273 0.10264 10.338 11604 58.049 95.281 134.33 1036.00 202.79 115.38
275 0.11065 10.301 11874 59.030 95.645 134.88 1025.20 198.71 114.50
277 0.11914 10.264 12145 60.007 96.012 135.43 1014.40 194.73 113.62
279 0.12813 10.227 12416 60.982 96.384 135.99 1003.60 190.87 112.75
281 0.13763 10.189 12689 61.954 96.760 136.57 992.87 187.10 111.89
D4650 − 19
TABLE 1 Continued
T p ρ H S C C c η λ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K MPa mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s μPa·s mW·m ·K
283 0.14768 10.151 12964 62.923 97.139 137.15 982.11 183.43 111.03
285 0.15828 10.113 13239 63.889 97.522 137.74 971.36 179.85 110.18
287 0.16945 10.074 13516 64.852 97.909 138.34 960.61 176.36 109.33
289 0.18122 10.036 13793 65.812 98.300 138.95 949.87 172.95 108.48
291 0.19362 9.9968 14072 66.770 98.694 139.56 939.14 169.63 107.64
293 0.20665 9.9577 14353 67.726 99.092 140.19 928.41 166.39 106.81
295 0.22034 9.9183 14634 68.679 99.494 140.83 917.68 163.23 105.98
297 0.23471 9.8786 14917 69.630 99.898 141.48 906.96 160.14 105.16
299 0.24979 9.8387 15201 70.578 100.31 142.14 896.24 157.12 104.34
301 0.26559 9.7985 15487 71.525 100.72 142.81 885.52 154.17 103.53
303 0.28214 9.7579 15774 72.469 101.13 143.49 874.80 151.28 102.72
305 0.29946 9.7171 16062 73.412 101.55 144.18 864.09 148.46 101.92
307 0.31757 9.6760 16352 74.352 101.97 144.88 853.37 145.70 101.13
309 0.33650 9.6345 16643 75.291 102.39 145.59 842.65 143.00 100.34
311 0.35627 9.5927 16936 76.228 102.82 146.32 831.93 140.35 99.553
313 0.37690 9.5506 17230 77.164 103.25 147.06 821.21 137.76 98.776
315 0.39842 9.5081 17525 78.098 103.68 147.81 810.48 135.22 98.005
317 0.42084 9.4652 17822 79.030 104.12 148.58 799.74 132.73 97.239
319 0.44420 9.4220 18121 79.961 104.56 149.36 789.00 130.29 96.480
321 0.46852 9.3784 18421 80.891 105.00 150.16 778.25 127.90 95.727
323 0.49382 9.3343 18723 81.820 105.44 150.97 767.49 125.56 94.980
325 0.52012 9.2899 19026 82.747 105.89 151.79 756.71 123.25 94.239
327 0.54746 9.2450 19331 83.674 106.34 152.64 745.93 120.99 93.504
329 0.57585 9.1996 19638 84.599 106.79 153.50 735.13 118.77 92.775
331 0.60532 9.1538 19946 85.524 107.25 154.38 724.32 116.59 92.053
333 0.63590 9.1075 20256 86.448 107.70 155.28 713.48 114.45 91.337
335 0.66761 9.0607 20568 87.371 108.17 156.20 702.63 112.34 90.627
337 0.70048 9.0134 20882 88.294 108.63 157.14 691.75 110.27 89.923
339 0.73453 8.9656 21197 89.216 109.10 158.10 680.85 108.23 89.225
341 0.76979 8.9171 21514 90.138 109.57 159.09 669.93 106.22 88.534
343 0.80629 8.8681 21834 91.059 110.04 160.11 658.97 104.25 87.848
345 0.84406 8.8185 22155 91.981 110.52 161.15 647.99 102.30 87.169
347 0.88311 8.7683 22478 92.902 111.00 162.22 636.97 100.39 86.496
349 0.92348 8.7173 22803 93.823 111.49 163.32 625.91 98.495 85.829
351 0.96521 8.6657 23131 94.745 111.97 164.46 614.82 96.630 85.168
353 1.0083 8.6134 23460 95.667 112.47 165.63 603.68 94.791 84.513
355 1.0528 8.5603 23792 96.589 112.96 166.84 592.49 92.976 83.864
357 1.0987 8.5065 24126 97.512 113.46 168.09 581.26 91.184 83.221
359 1.1461 8.4517 24462 98.435 113.97 169.39 569.97 89.413 82.584
361 1.1950 8.3962 24800 99.359 114.48 170.74 558.63 87.663 81.952
363 1.2454 8.3397 25141 100.28 115.00 172.14 547.22 85.932 81.326
365 1.2974 8.2822 25485 101.21 115.52 173.60 535.75 84.220 80.706
367 1.3509 8.2237 25831 102.14 116.05 175.13 524.21 82.526 80.091
369 1.4061 8.1642 26180 103.07 116.58 176.72 512.59 80.848 79.482
371 1.4629 8.1035 26531 104.00 117.12 178.40 500.90 79.185 78.877
373 1.5214 8.0416 26886 104.93 117.67 180.16 489.12 77.536 78.278
375 1.5816 7.9783 27243 105.87 118.23 182.02 477.25 75.900 77.684
377 1.6436 7.9138 27603 106.81 118.79 184.00 465.28 74.276 77.095
379 1.7074 7.8477 27967 107.75 119.37 186.09 453.21 72.662 76.510
381 1.7730 7.7801 28334 108.69 119.95 188.33 441.03 71.058 75.929
383 1.8404 7.7108 28705 109.64 120.55 190.72 428.73 69.462 75.353
385 1.9098 7.6397 29080 110.59 121.16 193.31 416.32 67.872 74.781
387 1.9811 7.5666 29458 111.55 121.79 196.10 403.77 66.286 74.213
389 2.0544 7.4913 29841 112.51 122.42 199.15 391.08 64.705 73.649
391 2.1298 7.4137 30228 113.48 123.08 202.48 378.24 63.124 73.088
393 2.2072 7.3335 30621 114.45 123.75 206.17 365.25 61.543 72.530
395 2.2868 7.2504 31018 115.43 124.45 210.28 352.08 59.958 71.976
397 2.3686 7.1642 31421 116.42 125.16 214.89 338.74 58.368 71.424
399 2.4526 7.0743 31831 117.42 125.90 220.14 325.20 56.768 70.877
401 2.5389 6.9805 32248 118.43 126.67 226.18 311.45 55.156 70.333
403 2.6276 6.8820 32672 119.46 127.47 233.23 297.48 53.527 69.793
405 2.7187 6.7782 33105 120.49 128.31 241.60 283.26 51.875 69.260
407 2.8124 6.6682 33549 121.55 129.19 251.74 268.78 50.194 68.736
409 2.9087 6.5506 34004 122.63 130.12 264.33 254.01 48.474 68.226
411 3.0077 6.4239 34474 123.74 131.11 280.44 238.91 46.703 67.739
413 3.1095 6.2858 34962 124.89 132.18 301.89 223.46 44.866 67.293
415 3.2142 6.1328 35473 126.08 133.34 331.95 207.59 42.937 66.924
417 3.3219 5.9597 36014 127.34 134.63 377.22 191.25 40.879 66.710
419 3.4329 5.7569 36601 128.70 136.13 453.23 174.33 38.628 66.843
421 3.5474 5.5057 37261 130.22 137.97 607.03 156.63 36.054 67.908
423 3.6656 5.1554 38071 132.09 140.57 1074.8 137.67 32.817 72.282
425 3.7881 4.3042 39674 135.81 147.29 21816 114.85 26.322 139.47
425.12 3.7957 4.0037 40191 137.02 149.26 648340 112.67 24.391 519.09
D4650 − 19
TABLE 1 Thermophysical Properties of Normal Butane Liquid at Vapor-Liquid Equilibrium
T p ρ H S C C c η λ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K MPa mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s μPa·s mW·m ·K
135 6.7910E-07 12.643 -5208.7 -26.944 83.783 114.67 1826.10 2350.5 176.53
137 9.8726E-07 12.611 -4979.3 -25.257 83.793 114.77 1812.80 2172.0 175.86
139 1.4181E-06 12.579 -4749.6 -23.593 83.799 114.87 1799.60 2012.7 175.19
141 2.0137E-06 12.547 -4519.8 -21.951 83.805 114.97 1786.60 1870.2 174.49
143 2.8282E-06 12.515 -4289.8 -20.331 83.809 115.07 1773.70 1742.4 173.79
145 3.9306E-06 12.483 -4059.5 -18.732 83.814 115.17 1761.00 1627.4 173.06
147 5.4080E-06 12.451 -3829.1 -17.154 83.819 115.27 1748.50 1523.8 172.33
149 7.3695E-06 12.419 -3598.4 -15.596 83.827 115.38 1736.00 1430.1 171.58
151 9.9501E-06 12.387 -3367.6 -14.056 83.836 115.50 1723.70 1345.2 170.81
153 1.3316E-05 12.355 -3136.5 -12.536 83.848 115.61 1711.40 1268.1 170.04
155 1.7670E-05 12.323 -2905.1 -11.034 83.864 115.73 1699.30 1197.9 169.25
157 2.3258E-05 12.291 -2673.5 -9.5491 83.883 115.85 1687.20 1133.8 168.45
159 3.0374E-05 12.259 -2441.7 -8.0818 83.906 115.98 1675.20 1075.2 167.64
161 3.9370E-05 12.227 -2209.6 -6.6312 83.933 116.11 1663.20 1021.4 166.82
163 5.0664E-05 12.194 -1977.2 -5.1968 83.965 116.25 1651.30 971.95 165.99
165 6.4747E-05 12.162 -1744.6 -3.7782 84.002 116.39 1639.50 926.37 165.15
167 8.2193E-05 12.130 -1511.6 -2.3750 84.044 116.54 1627.70 884.28 164.30
169 0.00010367 12.098 -1278.4 -0.98666 84.092 116.69 1616.00 845.31 163.44
171 0.00012996 12.066 -1044.9 0.38715 84.145 116.85 1604.30 809.16 162.58
173 0.00016194 12.034 -810.99 1.7469 84.204 117.02 1592.60 775.56 161.70
175 0.00020064 12.002 -576.79 3.0928 84.269 117.19 1581.00 744.25 160.82
177 0.00024721 11.969 -342.24 4.4255 84.340 117.36 1569.40 715.03 159.94
179 0.00030297 11.937 -107.33 5.7452 84.418 117.54 1557.90 687.71 159.04
181 0.00036941 11.905 127.95 7.0523 84.501 117.73 1546.40 662.11 158.14
183 0.00044817 11.873 363.61 8.3471 84.592 117.93 1534.90 638.07 157.24
185 0.00054113 11.840 599.67 9.6300 84.688 118.13 1523.40 615.48 156.33
187 0.00065035 11.808 836.14 10.901 84.792 118.34 1512.00 594.20 155.41
189 0.00077813 11.775 1073.0 12.161 84.902 118.55 1500.60 574.13 154.49
191 0.0009270 11.743 1310.4 13.410 85.018 118.77 1489.20 555.16 153.57
193 0.0010997 11.710 1548.2 14.649 85.142 119.00 1477.80 537.22 152.64
195 0.0012994 11.678 1786.4 15.877 85.272 119.24 1466.50 520.21 151.71
197 0.0015293 11.645 2025.1 17.095 85.409 119.48 1455.20 504.08 150.78
199 0.0017931 11.612 2264.4 18.303 85.553 119.73 1443.90 488.76 149.84
201 0.0020948 11.580 2504.1 19.501 85.704 119.99 1432.60 474.18 148.90
203 0.0024385 11.547 2744.3 20.691 85.861 120.25 1421.30 460.30 147.96
205 0.0028290 11.514 2985.1 21.871 86.026 120.52 1410.10 447.06 147.02
207 0.0032710 11.481 3226.5 23.042 86.197 120.80 1398.80 434.43 146.07
209 0.0037700 11.448 3468.4 24.205 86.375 121.09 1387.60 422.36 145.12
211 0.0043316 11.415 3710.9 25.360 86.559 121.38 1376.40 410.82 144.17
213 0.0049618 11.382 3954.0 26.506 86.751 121.68 1365.20 399.77 143.23
215 0.0056671 11.349 4197.7 27.645 86.949 121.99 1354.10 389.19 142.28
217 0.0064543 11.316 4442.1 28.776 87.153 122.31 1342.90 379.04 141.33
219 0.0073306 11.282 4687.0 29.899 87.365 122.63 1331.80 369.29 140.38
221 0.0083037 11.249 4932.7 31.015 87.582 122.96 1320.60 359.94 139.43
223 0.0093815 11.215 5179.0 32.124 87.807 123.30 1309.50 350.94 138.48
225 0.010573 11.182 5426.1 33.227 88.037 123.65 1298.40 342.29 137.53
227 0.011886 11.148 5673.8 34.322 88.274 124.01 1287.40 333.96 136.58
229 0.013331 11.114 5922.2 35.411 88.517 124.37 1276.30 325.94 135.63
231 0.014917 11.080 6171.4 36.494 88.767 124.74 1265.20 318.20 134.68
233 0.016655 11.046 6421.4 37.571 89.022 125.12 1254.20 310.74 133.74
235 0.018554 11.012 6672.1 38.642 89.284 125.50 1243.20 303.54 132.80
237 0.020627 10.978 6923.6 39.707 89.551 125.90 1232.10 296.59 131.85
239 0.022885 10.943 7176.0 40.766 89.824 126.30 1221.10 289.88 130.91
241 0.025338 10.909 7429.1 41.820 90.104 126.71 1210.20 283.38 129.98
243 0.028001 10.874 7683.1 42.868 90.388 127.12 1199.20 277.10 129.04
245 0.030885 10.840 7937.9 43.912 90.679 127.55 1188.20 271.02 128.11
247 0.034005 10.805 8193.6 44.950 90.975 127.98 1177.30 265.14 127.18
249 0.037372 10.770 8450.2 45.983 91.276 128.42 1166.30 259.44 126.25
251 0.041002 10.735 8707.7 47.012 91.583 128.87 1155.40 253.91 125.32
253 0.044908 10.700 8966.1 48.036 91.894 129.32 1144.50 248.55 124.40
255 0.049106 10.664 9225.4 49.055 92.211 129.79 1133.60 243.35 123.48
257 0.053611 10.629 9485.7 50.070 92.534 130.26 1122.70 238.31 122.57
259 0.058438 10.593 9747.0 51.081 92.861 130.74 1111.80 233.41 121.65
261 0.063604 10.557 10009 52.088 93.193 131.23 1101.00 228.65 120.75
263 0.069124 10.521 10272 53.091 93.529 131.73 1090.10 224.03 119.84
265 0.075015 10.485 10537 54.090 93.871 132.23 1079.30 219.53 118.94
267 0.081295 10.449 10802 55.085 94.217 132.74 1068.40 215.16 118.04
269 0.087981 10.412 11068 56.076 94.567 133.26 1057.60 210.91 117.15
271 0.095090 10.375 11336 57.064 94.922 133.79 1046.80 206.76 116.26
273 0.10264 10.338 11604 58.049 95.281 134.33 1036.00 202.73 115.38
275 0.11065 10.301 11874 59.030 95.645 134.88 1025.20 198.80 114.50
277 0.11914 10.264 12145 60.007 96.012 135.43 1014.40 194.97 113.62
279 0.12813 10.227 12416 60.982 96.384 135.99 1003.60 191.24 112.75
281 0.13763 10.189 12689 61.954 96.760 136.57 992.87 187.60 111.89
D4650 − 19
TABLE 1 Continued
T p ρ H S C C c η λ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K MPa mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s μPa·s mW·m ·K
283 0.14768 10.151 12964 62.923 97.139 137.15 982.11 184.05 111.03
285 0.15828 10.113 13239 63.889 97.522 137.74 971.36 180.58 110.17
287 0.16945 10.074 13516 64.852 97.909 138.34 960.61 177.19 109.33
289 0.18122 10.036 13793 65.812 98.300 138.95 949.87 173.89 108.48
291 0.19362 9.9968 14072 66.770 98.694 139.56 939.14 170.66 107.64
293 0.20665 9.9577 14353 67.726 99.092 140.19 928.41 167.50 106.81
295 0.22034 9.9183 14634 68.679 99.494 140.83 917.68 164.41 105.98
297 0.23471 9.8786 14917 69.630 99.898 141.48 906.96 161.39 105.16
299 0.24979 9.8387 15201 70.578 100.31 142.14 896.24 158.43 104.34
301 0.26559 9.7985 15487 71.525 100.72 142.81 885.52 155.54 103.53
303 0.28214 9.7579 15774 72.469 101.13 143.49 874.80 152.71 102.72
305 0.29946 9.7171 16062 73.412 101.55 144.18 864.09 149.93 101.92
307 0.31757 9.6760 16352 74.352 101.97 144.88 853.37 147.21 101.12
309 0.33650 9.6345 16643 75.291 102.39 145.59 842.65 144.54 100.33
311 0.35627 9.5927 16936 76.228 102.82 146.32 831.93 141.93 99.552
313 0.37690 9.5506 17230 77.164 103.25 147.06 821.21 139.36 98.774
315 0.39842 9.5081 17525 78.098 103.68 147.81 810.48 136.85 98.003
317 0.42084 9.4652 17822 79.030 104.12 148.58 799.74 134.38 97.237
319 0.44420 9.4220 18121 79.961 104.56 149.36 789.00 131.95 96.478
321 0.46852 9.3784 18421 80.891 105.00 150.16 778.25 129.57 95.725
323 0.49382 9.3343 18723 81.820 105.44 150.97 767.49 127.23 94.978
325 0.52012 9.2899 19026 82.747 105.89 151.79 756.71 124.93 94.236
327 0.54746 9.2450 19331 83.674 106.34 152.64 745.93 122.67 93.502
329 0.57585 9.1996 19638 84.599 106.79 153.50 735.13 120.44 92.773
331 0.60532 9.1538 19946 85.524 107.25 154.38 724.32 118.25 92.050
333 0.63590 9.1075 20256 86.448 107.70 155.28 713.48 116.10 91.334
335 0.66761 9.0607 20568 87.371 108.17 156.20 702.63 113.98 90.623
337 0.70048 9.0134 20882 88.294 108.63 157.14 691.75 111.89 89.919
339 0.73453 8.9656 21197 89.216 109.10 158.10 680.85 109.83 89.222
341 0.76979 8.9171 21514 90.138 109.57 159.09 669.93 107.81 88.530
343 0.80629 8.8681 21834 91.059 110.04 160.11 658.97 105.81 87.844
345 0.84406 8.8185 22155 91.981 110.52 161.15 647.99 103.83 87.165
347 0.88311 8.7683 22478 92.902 111.00 162.22 636.97 101.89 86.492
349 0.92348 8.7173 22803 93.823 111.49 163.32 625.91 99.970 85.824
351 0.96521 8.6657 23131 94.745 111.97 164.46 614.82 98.075 85.163
353 1.0083 8.6134 23460 95.667 112.47 165.63 603.68 96.204 84.508
355 1.0528 8.5603 23792 96.589 112.96 166.84 592.49 94.355 83.859
357 1.0987 8.5065 24126 97.512 113.46 168.09 581.26 92.528 83.216
359 1.1461 8.4517 24462 98.435 113.97 169.39 569.97 90.722 82.578
361 1.1950 8.3962 24800 99.359 114.48 170.74 558.63 88.935 81.946
363 1.2454 8.3397 25141 100.28 115.00 172.14 547.22 87.167 81.320
365 1.2974 8.2822 25485 101.21 115.52 173.60 535.75 85.417 80.700
367 1.3509 8.2237 25831 102.14 116.05 175.13 524.21 83.684 80.084
369 1.4061 8.1642 26180 103.07 116.58 176.72 512.59 81.967 79.475
371 1.4629 8.1035 26531 104.00 117.12 178.40 500.90 80.265 78.870
373 1.5214 8.0416 26886 104.93 117.67 180.16 489.12 78.577 78.271
375 1.5816 7.9783 27243 105.87 118.23 182.02 477.25 76.902 77.676
377 1.6436 7.9138 27603 106.81 118.79 184.00 465.28 75.238 77.086
379 1.7074 7.8477 27967 107.75 119.37 186.09 453.21 73.585 76.501
381 1.7730 7.7801 28334 108.69 119.95 188.33 441.03 71.942 75.921
383 1.8404 7.7108 28705 109.64 120.55 190.72 428.73 70.307 75.344
385 1.9098 7.6397 29080 110.59 121.16 193.31 416.32 68.679 74.772
387 1.9811 7.5666 29458 111.55 121.79 196.10 403.77 67.056 74.203
389 2.0544 7.4913 29841 112.51 122.42 199.15 391.08 65.437 73.638
391 2.1298 7.4137 30228 113.48 123.08 202.48 378.24 63.820 73.077
393 2.2072 7.3335 30621 114.45 123.75 206.17 365.25 62.203 72.519
395 2.2868 7.2504 31018 115.43 124.45 210.28 352.08 60.583 71.964
397 2.3686 7.1642 31421 116.42 125.16 214.89 338.74 58.958 71.412
399 2.4526 7.0743 31831 117.42 125.90 220.14 325.20 57.324 70.864
401 2.5389 6.9805 32248 118.43 126.67 226.18 311.45 55.678 70.319
403 2.6276 6.8820 32672 119.46 127.47 233.23 297.48 54.014 69.779
405 2.7187 6.7782 33105 120.49 128.31 241.60 283.26 52.328 69.245
407 2.8124 6.6682 33549 121.55 129.19 251.74 268.78 50.612 68.720
409 2.9087 6.5506 34004 122.63 130.12 264.33 254.01 48.856 68.209
411 3.0077 6.4239 34474 123.74 131.11 280.44 238.91 47.047 67.721
413 3.1095 6.2858 34962 124.89 132.18 301.89 223.46 45.168 67.274
415 3.2142 6.1328 35473 126.08 133.34 331.95 207.59 43.192 66.904
417 3.3219 5.9597 36014 127.34 134.63 377.22 191.25 41.080 66.689
419 3.4329 5.7569 36601 128.70 136.13 453.23 174.33 38.761 66.824
421 3.5474 5.5057 37261 130.22 137.97 607.03 156.63 36.101 67.898
423 3.6656 5.1554 38071 132.09 140.57 1074.8 137.67 32.776 72.300
425 3.7881 4.3042 39674 135.81 147.29 21816 114.85 27.096 137.01
425.12 3.7957 4.0037 40191 137.02 149.26 648340 112.67 25.373 501.00
D4650 − 19
TABLE 2 Thermophysical Properties of Normal Butane Vapor at Vapor-LIquid Equillibrium
T p ρ H S C C c η λ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K MPa mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s μPa·s mW·m ·K
135 6.7910E-07 6.0501E-07 23611 186.53 56.015 64.330 148.92 3.3235 4.8593
137 9.8726E-07 8.6672E-07 23740 184.37 56.434 64.748 149.95 3.3750 4.9511
139 1.4181E-06 1.2270E-06 23869 182.30 56.845 65.160 150.97 3.4265 5.0443
141 2.0137E-06 1.7177E-06 24000 180.32 57.250 65.565 151.98 3.4779 5.1387
143 2.8282E-06 2.3787E-06 24132 178.42 57.649 65.964 152.99 3.5293 5.2343
145 3.9306E-06 3.2603E-06 24264 176.60 58.042 66.357 153.99 3.5807 5.3313
147 5.4080E-06 4.4248E-06 24397 174.86 58.430 66.745 154.98 3.6321 5.4295
149 7.3695E-06 5.9487E-06 24531 173.19 58.813 67.129 155.97 3.6834 5.5291
151 9.9501E-06 7.9255E-06 24666 171.59 59.193 67.509 156.95 3.7347 5.6299
153 1.3316E-05 1.0468E-05 24801 170.06 59.568 67.885 157.93 3.7860 5.7319
155 1.7670E-05 1.3712E-05 24937 168.59 59.941 68.258 158.89 3.8372 5.8353
157 2.3258E-05 1.7818E-05 25074 167.19 60.310 68.628 159.85 3.8884 5.9400
159 3.0374E-05 2.2977E-05 25211 165.84 60.677 68.996 160.81 3.9396 6.0459
161 3.9370E-05 2.9414E-05 25350 164.54 61.042 69.361 161.76 3.9908 6.1531
163 5.0664E-05 3.7388E-05 25488 163.30 61.406 69.726 162.70 4.0419 6.2616
165 6.4747E-05 4.7203E-05 25628 162.12 61.768 70.089 163.63 4.0930 6.3713
167 8.2193E-05 5.9206E-05 25768 160.98 62.129 70.452 164.56 4.1440 6.4824
169 0.00010367 7.3797E-05 25909 159.89 62.489 70.814 165.48 4.1950 6.5947
171 0.00012996 9.1430E-05 26051 158.84 62.850 71.177 166.40 4.2460 6.7083
173 0.00016194 0.00011262 26193 157.84 63.210 71.540 167.31 4.2969 6.8231
175 0.00020064 0.00013795 26337 156.88 63.571 71.903 168.21 4.3478 6.9392
177 0.00024721 0.00016806 26480 155.96 63.933 72.268 169.10 4.3986 7.0566
179 0.00030297 0.00020368 26625 155.09 64.296 72.634 169.99 4.4494 7.1753
181 0.00036941 0.00024562 26770 154.24 64.660 73.002 170.87 4.5001 7.2952
183 0.00044817 0.00029476 26915 153.44 65.025 73.372 171.75 4.5508 7.4164
185 0.00054113 0.00035209 27062 152.67 65.393 73.744 172.61 4.6014 7.5389
187 0.00065035 0.00041869 27208 151.93 65.762 74.119 173.47 4.6520 7.6626
189 0.00077813 0.00049572 27356 151.22 66.134 74.497 174.32 4.7025 7.7876
191 0.00092700 0.00058446 27504 150.55 66.508 74.878 175.17 4.7530 7.9138
193 0.0010997 0.00068631 27653 149.91 66.885 75.263 176.01 4.8034 8.0413
195 0.0012994 0.00080276 27802 149.29 67.264 75.651 176.83 4.8537 8.1701
197 0.0015293 0.00093542 27952 148.71 67.647 76.044 177.66 4.9040 8.3000
199 0.0017931 0.0010860 28103 148.15 68.033 76.440 178.47 4.9542 8.4313
201 0.0020948 0.0012564 28254 147.61 68.423 76.841 179.27 5.0043 8.5638
203 0.0024385 0.0014486 28406 147.10 68.815 77.246 180.07 5.0544 8.6975
205 0.0028290 0.0016647 28558 146.62 69.212 77.657 180.85 5.1043 8.8324
207 0.0032710 0.0019069 28711 146.16 69.612 78.072 181.63 5.1543 8.9686
209 0.0037700 0.0021776 28865 145.72 70.017 78.492 182.40 5.2041 9.1061
211 0.0043316 0.0024792 29019 145.30 70.425 78.918 183.15 5.2539 9.2448
213 0.0049618 0.0028145 29173 144.91 70.838 79.349 183.90 5.3035 9.3847
215 0.0056671 0.0031862 29328 144.53 71.254 79.787 184.64 5.3531 9.5258
217 0.0064543 0.0035973 29484 144.18 71.675 80.229 185.37 5.4027 9.6682
219 0.0073306 0.0040506 29640 143.84 72.101 80.678 186.08 5.4521 9.8118
221 0.0083037 0.0045495 29797 143.52 72.530 81.134 186.79 5.5015 9.9567
223 0.0093815 0.0050973 29954 143.22 72.965 81.595 187.48 5.5507 10.103
225 0.010573 0.0056973 30111 142.94 73.403 82.063 188.16 5.5999 10.250
227 0.011886 0.0063533 30269 142.67 73.847 82.537 188.83 5.6490 10.399
229 0.013331 0.0070689 30428 142.42 74.295 83.018 189.49 5.6981 10.548
231 0.014917 0.0078481 30587 142.19 74.747 83.506 190.13 5.7470 10.699
233 0.016655 0.0086947 30746 141.97 75.205 84.001 190.77 5.7959 10.852
235 0.018554 0.0096130 30906 141.76 75.667 84.503 191.39 5.8447 11.005
237 0.020627 0.010607 31066 141.57 76.134 85.011 191.99 5.8934 11.160
239 0.022885 0.011682 31227 141.40 76.605 85.527 192.58 5.9421 11.316
241 0.025338 0.012841 31388 141.23 77.081 86.051 193.16 5.9907 11.473
243 0.028001 0.014090 31549 141.08 77.562 86.581 193.72 6.0393 11.632
245 0.030885 0.015434 31711 140.94 78.047 87.120 194.27 6.0877 11.792
247 0.034005 0.016877 31873 140.82 78.537 87.665 194.80 6.1362 11.953
249 0.037372 0.018424 32035 140.70 79.032 88.219 195.32 6.1846 12.116
251 0.041002 0.020081 32198 140.60 79.531 88.780 195.82 6.2329 12.280
253 0.044908 0.021853 32361 140.51 80.035 89.349 196.30 6.2812 12.445
255 0.049106 0.023746 32524 140.42 80.544 89.926 196.77 6.3295 12.611
257 0.053611 0.025765 32688 140.35 81.057 90.511 197.22 6.3778 12.779
259 0.058438 0.027915 32852 140.29 81.575 91.104 197.65 6.4261 12.949
261 0.063604 0.030204 33016 140.24 82.097 91.705 198.07 6.4743 13.119
263 0.069124 0.032636 33180 140.19 82.623 92.315 198.47 6.5226 13.292
265 0.075015 0.035219 33345 140.16 83.154 92.933 198.85 6.5709 13.465
267 0.081295 0.037958 33509 140.13 83.689 93.560 199.21 6.6193 13.640
269 0.087981 0.040860 33674 140.11 84.228 94.195 199.55 6.6677 13.817
271 0.095090 0.043931 33840 140.10 84.772 94.839 199.87 6.7161 13.995
273 0.10264 0.047179 34005 140.10 85.320 95.492 200.18 6.7646 14.175
275 0.11065 0.050611 34170 140.11 85.872 96.154 200.46 6.8133 14.357
277 0.11914 0.054232 34336 140.12 86.428 96.825 200.72 6.8620 14.540
279 0.12813 0.058052 34502 140.14 86.988 97.506 200.96 6.9108 14.725
281 0.13763 0.062077 34667 140.17 87.552 98.196 201.18 6.9598 14.912
D4650 − 19
TABLE 2 Continued
T p ρ H S C C c η λ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K MPa mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s μPa·s mW·m ·K
283 0.14768 0.066316 34833 140.20 88.120 98.896 201.38 7.0090 15.100
285 0.15828 0.070775 34999 140.24 88.692 99.605 201.56 7.0583 15.291
287 0.16945 0.075463 35165 140.29 89.267 100.33 201.71 7.1078 15.483
289 0.18122 0.080389 35331 140.34 89.847 101.06 201.85 7.1576 15.677
291 0.19362 0.085560 35497 140.40 90.430 101.80 201.96 7.2076 15.874
293 0.20665 0.090986 35663 140.46 91.017 102.55 202.04 7.2579 16.072
295 0.22034 0.096676 35829 140.53 91.607 103.31 202.10 7.3085 16.273
297 0.23471 0.10264 35995 140.60 92.201 104.08 202.14 7.3594 16.476
299 0.24979 0.10888 36161 140.68 92.798 104.87 202.15 7.4106 16.681
301 0.26559 0.11542 36326 140.76 93.399 105.67 202.14 7.4622 16.888
303 0.28214 0.12226 36492 140.85 94.004 106.48 202.10 7.5143 17.098
305 0.29946 0.12941 36657 140.94 94.611 107.30 202.04 7.5668 17.311
307 0.31757 0.13689 36823 141.03 95.222 108.14 201.95 7.6197 17.526
309 0.33650 0.14470 36988 141.13 95.837 108.99 201.83 7.6732 17.745
311 0.35627 0.15286 37152 141.23 96.454 109.85 201.69 7.7272 17.966
313 0.37690 0.16138 37317 141.34 97.075 110.73 201.52 7.7818 18.190
315 0.39842 0.17027 37481 141.45 97.699 111.63 201.32 7.8371 18.417
317 0.42084 0.17954 37645 141.56 98.327 112.54 201.09 7.8930 18.647
319 0.44420 0.18921 37809 141.68 98.957 113.47 200.83 7.9496 18.881
321 0.46852 0.19929 37972 141.80 99.591 114.41 200.54 8.0070 19.118
323 0.49382 0.20980 38135 141.92 100.23 115.38 200.22 8.0652 19.359
325 0.52012 0.22075 38297 142.04 100.87 116.36 199.87 8.1243 19.603
327 0.54746 0.23215 38459 142.17 101.51 117.36 199.48 8.1843 19.852
329 0.57585 0.24403 38620 142.30 102.16 118.39 199.07 8.2452 20.105
331 0.60532 0.25640 38781 142.43 102.81 119.44 198.62 8.3072 20.362
333 0.63590 0.26929 38941 142.56 103.46 120.51 198.14 8.3703 20.623
335 0.66761 0.28270 39100 142.69 104.12 121.61 197.62 8.4346 20.889
337 0.70048 0.29666 39259 142.83 104.78 122.73 197.06 8.5000 21.160
339 0.73453 0.31119 39417 142.96 105.44 123.89 196.47 8.5668 21.436
341 0.76979 0.32632 39574 143.10 106.10 125.07 195.85 8.6350 21.718
343 0.80629 0.34206 39730 143.24 106.76 126.28 195.18 8.7046 22.005
345 0.84406 0.35845 39886 143.37 107.43 127.53 194.48 8.7757 22.298
347 0.88311 0.37550 40040 143.51 108.10 128.81 193.73 8.8485 22.597
349 0.92348 0.39326 40193 143.65 108.76 130.13 192.95 8.9231 22.903
351 0.96521 0.41175 40346 143.79 109.43 131.49 192.12 8.9995 23.215
353 1.0083 0.43100 40496 143.93 110.10 132.90 191.25 9.0778 23.535
355 1.0528 0.45105 40646 144.07 110.77 134.35 190.34 9.1582 23.862
357 1.0987 0.47194 40794 144.20 111.45 135.86 189.38 9.2408 24.197
359 1.1461 0.49370 40941 144.34 112.12 137.44 188.37 9.3258 24.540
361 1.1950 0.51639 41086 144.47 112.80 139.08 187.32 9.4133 24.892
363 1.2454 0.54004 41229 144.60 113.48 140.79 186.22 9.5034 25.254
365 1.2974 0.56471 41370 144.73 114.17 142.59 185.07 9.5964 25.626
367 1.3509 0.59046 41509 144.86 114.86 144.49 183.86 9.6924 26.008
369 1.4061 0.61735 41646 144.98 115.56 146.49 182.61 9.7916 26.402
371 1.4629 0.64544 41781 145.10 116.27 148.61 181.29 9.8943 26.808
373 1.5214 0.67480 41913 145.22 116.99 150.87 179.93 10.001 27.227
375 1.5816 0.70553 42043 145.33 117.73 153.28 178.50 10.111 27.661
377 1.6436 0.73770 42169 145.44 118.47 155.85 177.01 10.226 28.109
379 1.7074 0.77141 42293 145.55 119.24 158.62 175.46 10.346 28.574
381 1.7730 0.80678 42413 145.64 120.01 161.61 173.84 10.470 29.057
383 1.8404 0.84392 42529 145.73 120.81 164.85 172.16 10.600 29.560
385 1.9098 0.88298 42641 145.82 121.62 168.37 170.41 10.736 30.084
387 1.9811 0.92411 42750 145.89 122.46 172.23 168.58 10.879 30.633
389 2.0544 0.96749 42853 145.96 123.31 176.46 166.69 11.029 31.208
391 2.1298 1.0133 42951 146.02 124.18 181.14 164.71 11.187 31.813
393 2.2072 1.0618 43044 146.06 125.08 186.36 162.65 11.354 32.452
395 2.2868 1.1133 43130 146.09 126.00 192.20 160.51 11.532 33.129
397 2.3686 1.1681 43209 146.11 126.95 198.82 158.28 11.720 33.851
399 2.4526 1.2266 43281 146.12 127.92 206.37 155.97 11.921 34.625
401 2.5389 1.2891 43344 146.10 128.93 215.09 153.55 12.138 35.459
403 2.6276 1.3564 43396 146.07 129.97 225.31 151.04 12.371 36.366
405 2.7187 1.4291 43437 146.01 131.06 237.46 148.41 12.624 37.361
407 2.8124 1.5080 43465 145.92 132.19 252.18 145.68 12.901 38.465
409 2.9087 1.5944 43476 145.79 133.38 270.43 142.83 13.207 39.708
411 3.0077 1.6898 43469 145.63 134.65 293.73 139.85 13.549 41.132
413 3.1095 1.7962 43438 145.41 136.00 324.58 136.74 13.936 42.802
415 3.2142 1.9169 43376 145.13 137.48 367.52 133.47 14.383 44.821
417 3.3219 2.0567 43275 144.75 139.12 431.61 130.02 14.912 47.372
419 3.4329 2.2240 43115 144.24 141.00 538.03 126.37 15.566 50.815
421 3.5474 2.4360 42861 143.52 143.26 750.33 122.47 16.428 56.019
423 3.6656 2.7399 42419 142.37 146.19 1383.4 118.16 17.738 66.079
425 3.7881 3.5364 41020 138.97 150.45 26744 112.63 21.677 152.56
425.12 3.7957 3.8414 40474 137.68 149.99 685360 112.3 23.411 540.52
D4650 − 19
TABLE 2 Thermophysical Properties of Normal Butane Vapor at Vapor-LIquid Equilibrium
T p ρ H S C C c η λ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K MPa mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s μPa·s mW·m ·K
135 6.7910E-07 6.0501E-07 23611 186.53 56.015 64.330 148.92 3.3445 4.8593
137 9.8726E-07 8.6672E-07 23740 184.37 56.434 64.748 149.95 3.3955 4.9511
139 1.4181E-06 1.2270E-06 23869 182.30 56.845 65.160 150.97 3.4464 5.0443
141 2.0137E-06 1.7177E-06 24000 180.32 57.250 65.565 151.98 3.4973 5.1387
143 2.8282E-06 2.3787E-06 24132 178.42 57.649 65.964 152.99 3.5481 5.2343
145 3.9306E-06 3.2603E-06 24264 176.60 58.042 66.357 153.99 3.5989 5.3313
147 5.4080E-06 4.4248E-06 24397 174.86 58.430 66.745 154.98 3.6497 5.4295
149 7.3695E-06 5.9487E-06 24531 173.19 58.813 67.129 155.97 3.7005 5.5291
151 9.9501E-06 7.9255E-06 24666 171.59 59.193 67.509 156.95 3.7512 5.6299
153 1.3316E-05 1.0468E-05 24801 170.06 59.568 67.885 157.93 3.8020 5.7319
155 1.7670E-05 1.3712E-05 24937 168.59 59.941 68.258 158.89 3.8526 5.8353
157 2.3258E-05 1.7818E-05 25074 167.19 60.310 68.628 159.85 3.9033 5.9400
159 3.0374E-05 2.2977E-05 25211 165.84 60.677 68.996 160.81 3.9539 6.0459
161 3.9370E-05 2.9414E-05 25350 164.54 61.042 69.361 161.76 4.0045 6.1531
163 5.0664E-05 3.7388E-05 25488 163.30 61.406 69.726 162.70 4.0550 6.2616
165 6.4747E-05 4.7203E-05 25628 162.12 61.768 70.089 163.63 4.1055 6.3713
167 8.2193E-05 5.9206E-05 25768 160.98 62.129 70.452 164.56 4.1560 6.4824
169 0.00010367 7.3797E-05 25909 159.89 62.489 70.814 165.48 4.2064 6.5947
171 0.00012996 9.1430E-05 26051 158.84 62.850 71.177 166.40 4.2568 6.7083
173 0.00016194 0.00011262 26193 157.84 63.210 71.540 167.31 4.3072 6.8231
175 0.00020064 0.00013795 26337 156.88 63.571 71.903 168.21 4.3575 6.9392
177 0.00024721 0.00016806 26480 155.96 63.933 72.268 169.10 4.4077 7.0566
179 0.00030297 0.00020368 26625 155.09 64.296 72.634 169.99 4.4579 7.1753
181 0.00036941 0.00024562 26770 154.24 64.660 73.002 170.87 4.5081 7.2952
183 0.00044817 0.00029476 26915 153.44 65.025 73.372 171.75 4.5582 7.4164
185 0.00054113 0.00035209 27062 152.67 65.393 73.744 172.61 4.6082 7.5389
187 0.00065035 0.00041869 27208 151.93 65.762 74.119 173.47 4.6582 7.6626
189 0.00077813 0.00049572 27356 151.22 66.134 74.497 174.32 4.7082 7.7876
191 0.00092700 0.00058446 27504 150.55 66.508 74.878 175.17 4.7580 7.9138
193 0.0010997 0.00068631 27653 149.91 66.885 75.263 176.01 4.8078 8.0413
195 0.0012994 0.00080276 27802 149.29 67.264 75.651 176.83 4.8576 8.1701
197 0.0015293 0.00093542 27952 148.71 67.647 76.044 177.66 4.9072 8.3000
199 0.0017931 0.0010860 28103 148.15 68.033 76.440 178.47 4.9568 8.4313
201 0.0020948 0.0012564 28254 147.61 68.423 76.841 179.27 5.0063 8.5638
203 0.0024385 0.0014486 28406 147.10 68.815 77.246 180.07 5.0558 8.6975
205 0.0028290 0.0016647 28558 146.62 69.212 77.657 180.85 5.1051 8.8324
207 0.0032710 0.0019069 28711 146.16 69.612 78.072 181.63 5.1544 8.9686
209 0.0037700 0.0021776 28865 145.72 70.017 78.492 182.40 5.2036 9.1061
211 0.0043316 0.0024792 29019 145.30 70.425 78.918 183.15 5.2527 9.2448
213 0.0049618 0.0028145 29173 144.91 70.838 79.349 183.90 5.3018 9.3847
215 0.0056671 0.0031862 29328 144.53 71.254 79.787 184.64 5.3507 9.5258
217 0.0064543 0.0035973 29484 144.18 71.675 80.229 185.37 5.3995 9.6682
219 0.0073306 0.0040506 29640 143.84 72.101 80.678 186.08 5.4483 9.8118
221 0.0083037 0.0045495 29797 143.52 72.530 81.134 186.79 5.4970 9.9567
223 0.0093815 0.0050973 29954 143.22 72.965 81.595 187.48 5.5456 10.103
225 0.010573 0.0056973 30111 142.94 73.403 82.063 188.16 5.5940 10.250
227 0.011886 0.0063533 30269 142.67 73.847 82.537 188.83 5.6424 10.399
229 0.013331 0.0070689 30428 142.42 74.295 83.018 189.49 5.6907 10.548
231 0.014917 0.0078481 30587 142.19 74.747 83.506 190.13 5.7389 10.699
233 0.016655 0.0086947 30746 141.97 75.205 84.001 190.77 5.7870 10.852
235 0.018554 0.0096130 30906 141.76 75.667 84.503 191.39 5.8351 11.005
237 0.020627 0.010607 31066 141.57 76.134 85.011 191.99 5.8830 11.160
239 0.022885 0.011682 31227 141.40 76.605 85.527 192.58 5.9309 11.316
241 0.025338 0.012841 31388 141.23 77.081 86.051 193.16 5.9786 11.473
243 0.028001 0.014090 31549 141.08 77.562 86.581 193.72 6.0263 11.632
245 0.030885 0.015434 31711 140.94 78.047 87.120 194.27 6.0739 11.792
247 0.034005 0.016877 31873 140.82 78.537 87.665 194.80 6.1214 11.953
249 0.037372 0.018424 32035 140.70 79.032 88.219 195.32 6.1689 12.116
251 0.041002 0.020081 32198 140.60 79.531 88.780 195.82 6.2163 12.280
253 0.044908 0.021853 32361 140.51 80.035 89.349 196.30 6.2636 12.445
255 0.049106 0.023746 32524 140.42 80.544 89.926 196.77 6.3109 12.611
257 0.053611 0.025765 32688 140.35 81.057 90.511 197.22 6.3581 12.779
259 0.058438 0.027915 32852 140.29 81.575 91.104 197.65 6.4053 12.949
261 0.063604 0.030204 33016 140.24 82.097 91.705 198.07 6.4524 13.119
263 0.069124 0.032636 33180 140.19 82.623 92.315 198.47 6.4995 13.292
265 0.075015 0.035219 33345 140.16 83.154 92.933 198.85 6.5466 13.465
267 0.081295 0.037958 33509 140.13 83.689 93.560 199.21 6.5937 13.640
269 0.087981 0.040860 33674 140.11 84.228 94.195 199.55 6.6407 13.817
271 0.095090 0.043931 33840 140.10 84.772 94.839 199.87 6.6878 13.995
273 0.10264 0.047179 34005 140.10 85.320 95.492 200.18 6.7348 14.175
275 0.11065 0.050611 34170 140.11 85.872 96.154 200.46 6.7819 14.357
277 0.11914 0.054232 34336 140.12 86.428 96.825 200.72 6.8290 14.540
279 0.12813 0.058052 34502 140.14 86.988 97.506 200.96 6.8761 14.725
281 0.13763 0.062077 34667 140.17 87.552 98.196 201.18 6.9233 14.912
D4650 − 19
TABLE 2 Continued
T p ρ H S C C c η λ
v p
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
K MPa mol·l J·mol J·mol ·K J·mol ·K J·mol ·K m·s μPa·s mW·m ·K
283 0.14768 0.066316 34833 140.20 88.120 98.896 201.38 6.9706 15.100
285 0.15828 0.070775 34999 140.24 88.692 99.605 201.56 7.0180 15.291
287 0.16945 0.075463 35165 140.29 89.267 100.33 201.71 7.0654 15.483
289 0.18122 0.080389 35331 140.34 89.847 101.06 201.85 7.1130 15.677
291 0.19362 0.085560 35497 140.40 90.430 101.80 201.96 7.1606 15.874
293 0.20665 0.090986 35663 140.46 91.017 102.55 202.04 7.2084 16.072
295 0.22034 0.096676 35829 140.53 91.607 103.31 202.10 7.2564 16.273
297 0.23471 0.10264 35995 140.60 92.201 104.08 202.14 7.3045 16.476
299 0.24979 0.10888 36161 140.68 92.798 104.87 202.15 7.3529 16.681
301 0.26559 0.11542 36326 140.76 93.399 105.67 202.14 7.4014 16.888
303 0.28214 0.12226 36492 140.85 94.004 106.48 202.10 7.4502 17.099
305 0.29946 0.12941 36657 140.94 94.611 107.30 202.04 7.4992 17.311
307 0.31757 0.13689 36823 141.03 95.222 108.14 201.95 7.5485 17.527
309 0.33650 0.14470 36988 141.13 95.837 108.99 201.83 7.5981 17.745
311 0.35627 0.15286 37152 141.23 96.454 109.85 201.69 7.6480 17.966
313 0.37690 0.16138 37317 141.34 97.075 110.73 201.52 7.6983 18.190
315 0.39842 0.17027 37481 141.45 97.699 111.63 201.32 7.7490 18.417
317 0.42084 0.17954 37645 141.56 98.327 112.54 201.09 7.8001 18.647
319 0.44420 0.18921 37809 141.68 98.957 113.47 200.83 7.8516 18.881
321 0.46852 0.19929 37972 141.80 99.591 114.41 200.54 7.9036 19.118
323 0.49382 0.20980 38135 141.92 100.23 115.38 200.22 7.9561 19.359
325 0.52012 0.22075 38297 142.04 100.87 116.36 199.87 8.0091 19.604
327 0.54746 0.23215 38459 142.17 101.51 117.36 199.48 8.0628 19.853
329 0.57585 0.24403 38620 142.30 102.16 118.39 199.07 8.1171 20.105
331 0.60532 0.25640 38781 142.43 102.81 119.44 198.62 8.1720 20.363
333 0.63590 0.26929 38941 142.56 103.46 120.51 198.14 8.2277 20.624
335 0.66761 0.28270 39100 142.69 104.12 121.61 197.62 8.2842 20.890
337 0.70048 0.29666 39259 142.83 104.78 122.73 197.06 8.3415 21.162
339 0.73453 0.31119 39417 142.96 105.44 123.89 196.47 8.3997 21.438
341 0.76979 0.32632 39574 143.10 106.10 125.07 195.85 8.4589 21.720
343 0.80629 0.34206 39730 143.24 106.76 126.28 195.18 8.5191 22.007
345 0.84406 0.35845 39886 143.37 107.43 127.53 194.48 8.5804 22.300
347 0.88311 0.37550 40040 143.51 108.10 128.81 193.73 8.6428 22.600
349 0.92348 0.39326 40193 143.65 108.76 130.13 192.95 8.7066 22.906
351 0.96521 0.41175 40346 143.79 109.43 131.49 192.12 8.7717 23.219
353 1.0083 0.43100 40496 143.93 110.10 132.90 191.25 8.8383 23.539
355 1.0528 0.45105 40646 144.07 110.77 134.35 190.34 8.9064 23.867
357 1.0987 0.47194 40794 144.20 111.45 135.86 189.38 8.9763 24.202
359 1.1461 0.49370 40941 144.34 112.12 137.44 188.37 9.0479 24.547
361 1.1950 0.51639 41086 144.47 112.80 139.08 187.32 9.1216 24.900
363 1.2454 0.54004 41229 144.60 113.48 140.79 186.22 9.1973 25.263
365 1.2974 0.56471 41370 144.73 114.17 142.59 185.07 9.2754 25.636
367 1.3509 0.59046 41509 144.86 114.86 144.49 183.86 9.3560 26.020
369 1.4061 0.61735 41646 144.98 115.56 146.49 182.61 9.4392 26.415
371 1.4629 0.64544 41781 145.10 116.27 148.61 181.29 9.5254 26.823
373 1.5214 0
...