Ideal Gas Tables PDF

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Ideal Gas Tables...

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Index to Tables in SI Units

Table A-2 Table A-3 Table A-4 Table A-5 Table A-6 Table A-7 Table A-8 Table A-9 Table A-10 Table A-11 Table A-12 Table A-13 Table A-14 Table A-15 Table A-16 Table A-17 Table A-18

Properties of Saturated Water (Liquid–Vapor): Temperature Table A-3 Properties of Saturated Water (Liquid–Vapor): Pressure Table A-5 Properties of Superheated Water Vapor A-7 Properties of Compressed Liquid Water A-11 Properties of Saturated Water (Solid–Vapor): Temperature Table A-12 Properties of Saturated Refrigerant 22 (Liquid–Vapor): Temperature Table A-13 Properties of Saturated Refrigerant 22 (Liquid–Vapor): Pressure Table A-14 Properties of Superheated Refrigerant 22 Vapor A-15 Properties of Saturated Refrigerant 134a (Liquid–Vapor): Temperature Table A-19 Properties of Saturated Refrigerant 134a (Liquid–Vapor): Pressure Table A-20 Properties of Superheated Refrigerant 134a Vapor A-21 Properties of Saturated Ammonia (Liquid–Vapor): Temperature Table A-24 Properties of Saturated Ammonia (Liquid–Vapor): Pressure Table A-25 Properties of Superheated Ammonia Vapor A-26 Properties of Saturated Propane (Liquid–Vapor): Temperature Table A-30 Properties of Saturated Propane (Liquid–Vapor): Pressure Table A-31 Properties of Superheated Propane Vapor A-32

Table A-25 Table A-26 Table A-27

Thermochemical Properties of Selected Substances at 298 K and 1 atm A-46 Standard Molar Chemical Exergy, e–ch (kJ/kmol), of Selected Substances at 298 K and p0 A-47 Logarithms to the Base 10 of the Equilibrium Constant K A-48

A-1

Table A-1

A-2

Tables in SI Units

TA B L E A - 1

Atomic or Molecular Weights and Critical Properties of Selected Elements and Compounds

Substance

Chemical Formula

Acetylene Air (equivalent) Ammonia

C2H2 — NH3

Argon Benzene Butane

M (kg/kmol)

Tc (K)

pc (bar)

26.04 28.97 17.03

309 133 406

62.8 37.7 112.8

0.274 0.284 0.242

Ar C6H6 C4H10

39.94 78.11 58.12

151 563 425

48.6 49.3 38.0

0.290 0.274 0.274

Carbon Carbon dioxide Carbon monoxide

C CO2 CO

12.01 44.01 28.01

— 304 133

— 73.9 35.0

— 0.276 0.294

Copper Ethane Ethanol

Cu C2H6 C2H5OH

63.54 30.07 46.07

— 305 516

— 48.8 63.8

— 0.285 0.249

Ethylene Helium Hydrogen

C2H4 He H2

28.05 4.003 2.016

283 5.2 33.2

51.2 2.3 13.0

0.270 0.300 0.304

Methane Methanol Nitrogen

CH4 CH3OH N2

16.04 32.04 28.01

191 513 126

46.4 79.5 33.9

0.290 0.220 0.291

Octane Oxygen Propane

C8H18 O2 C3H8

114.22 32.00 44.09

569 154 370

24.9 50.5 42.7

0.258 0.290 0.276

Propylene Refrigerant 12 Refrigerant 22

C3H6 CCl2F2 CHClF2

42.08 120.92 86.48

365 385 369

46.2 41.2 49.8

0.276 0.278 0.267

Refrigerant 134a Sulfur dioxide Water

CF3CH2F SO2 H2O

102.03 64.06 18.02

374 431 647.3

40.7 78.7 220.9

0.260 0.268 0.233

Zc =

pcvc RTc

Sources: Adapted from International Critical Tables and L. C. Nelson and E. F. Obert, Generalized Compressibility Charts, Chem. Eng., 61: 203 (1954). Sources for Tables A-2 through A-18. Tables A-2 through A-6 are extracted from J. H. Keenan, F. G. Keyes, P. G. Hill, and J. G. Moore, Steam Tables, Wiley, New York, 1969. Tables A-7 through A-9 are calculated based on equations from A. Kamei and S. W. Beyerlein, “A Fundamental Equation for Chlorodifluoromethane (R-22),” Fluid Phase Equilibria, Vol. 80, No. 11, 1992, pp. 71–86. Tables A-10 through A-12 are calculated based on equations from D. P. Wilson and R. S. Basu, “Thermodynamic Properties of a New Stratospherically Safe Working Fluid — Refrigerant 134a,” ASHRAE Trans., Vol. 94, Pt. 2, 1988, pp. 2095–2118. Tables A-13 through A-15 are calculated based on equations from L. Haar and J. S. Gallagher, “Thermodynamic Properties of Ammonia,” J. Phys. Chem. Reference Data, Vol. 7, 1978, pp. 635–792. Tables A-16 through A-18 are calculated based on B. A. Younglove and J. F. Ely, “Thermophysical Properties of Fluids. II. Methane, Ethane, Propane, Isobutane and Normal Butane,” J. Phys. Chem. Ref. Data, Vol. 16, No. 4, 1987, pp. 577–598.

A-36

Tables in SI Units

TA B L E A - 1 9

Properties of Selected Solids and Liquids: cp, ρ, andκκ

Table A-19

Substance

Specific Heat, cp (kJ/kg · K)

Density, ρ (kg/m3)

Thermal Conductivity, κ (W/m · K)

Selected Solids, 300K Aluminum Coal, anthracite Copper Granite Iron Lead Sand Silver Soil Steel (AISI 302) Tin

0.903 1.260 0.385 0.775 0.447 0.129 0.800 0.235 1.840 0.480 0.227

2700 1350 8930 2630 7870 11300 1520 10500 2050 8060 7310

237 0.26 401 2.79 80.2 35.3 0.27 429 0.52 15.1 66.6

Building Materials, 300K Brick, common Concrete (stone mix) Glass, plate Hardboard, siding Limestone Plywood Softwoods (fir, pine)

0.835 0.880 0.750 1.170 0.810 1.220 1.380

1920 2300 2500 640 2320 545 510

0.72 1.4 1.4 0.094 2.15 0.12 0.12

Insulating Materials, 300K Blanket (glass fiber) Cork Duct liner (glass fiber, coated) Polystyrene (extruded) Vermiculite fill (flakes)

— 1.800 0.835 1.210 0.835

16 120 32 55 80

0.046 0.039 0.038 0.027 0.068

Saturated Liquids Ammonia, 300K Mercury, 300K Refrigerant 22, 300K Refrigerant 134a, 300K Unused Engine Oil, 300K Water, 275K 300K 325K 350K 375K 400K

4.818 0.139 1.267 1.434 1.909 4.211 4.179 4.182 4.195 4.220 4.256

599.8 13529 1183.1 1199.7 884.1 999.9 996.5 987.1 973.5 956.8 937.4

0.465 8.540 0.085 0.081 0.145 0.574 0.613 0.645 0.668 0.681 0.688

Sources: Drawn from several sources, these data are only representative. Values can vary depending on temperature, purity, moisture content, and other factors.

Tables in SI Units

Ideal Gas Specific Heats of Some Common Gases (kJ/kg · K)

TA B L E A - 2 0

cp

cυ

Temp. K

k

Air

cp

cυ

k

Nitrogen, N2

cp

cυ

k Temp. K

Oxygen, O2

250 300 350

1.003 1.005 1.008

0.716 0.718 0.721

1.401 1.400 1.398

1.039 1.039 1.041

0.742 0.743 0.744

1.400 1.400 1.399

0.913 0.918 0.928

0.653 0.658 0.668

1.398 1.395 1.389

250 300 350

400 450 500

1.013 1.020 1.029

0.726 0.733 0.742

1.395 1.391 1.387

1.044 1.049 1.056

0.747 0.752 0.759

1.397 1.395 1.391

0.941 0.956 0.972

0.681 0.696 0.712

1.382 1.373 1.365

400 450 500

550 600 650

1.040 1.051 1.063

0.753 0.764 0.776

1.381 1.376 1.370

1.065 1.075 1.086

0.768 0.778 0.789

1.387 1.382 1.376

0.988 1.003 1.017

0.728 0.743 0.758

1.358 1.350 1.343

550 600 650

700 750 800

1.075 1.087 1.099

0.788 0.800 0.812

1.364 1.359 1.354

1.098 1.110 1.121

0.801 0.813 0.825

1.371 1.365 1.360

1.031 1.043 1.054

0.771 0.783 0.794

1.337 1.332 1.327

700 750 800

900 1000

1.121 1.142

0.834 0.855

1.344 1.336

1.145 1.167

0.849 0.870

1.349 1.341

1.074 1.090

0.814 0.830

1.319 1.313

900 1000

Temp. K

A-37

Carbon Dioxide, CO2

Carbon Monoxide, CO

Hydrogen, H2

Temp. K

250 300 350

0.791 0.846 0.895

0.602 0.657 0.706

1.314 1.288 1.268

1.039 1.040 1.043

0.743 0.744 0.746

1.400 1.399 1.398

14.051 14.307 14.427

9.927 10.183 10.302

1.416 1.405 1.400

250 300 350

400 450 500

0.939 0.978 1.014

0.750 0.790 0.825

1.252 1.239 1.229

1.047 1.054 1.063

0.751 0.757 0.767

1.395 1.392 1.387

14.476 14.501 14.513

10.352 10.377 10.389

1.398 1.398 1.397

400 450 500

550 600 650

1.046 1.075 1.102

0.857 0.886 0.913

1.220 1.213 1.207

1.075 1.087 1.100

0.778 0.790 0.803

1.382 1.376 1.370

14.530 14.546 14.571

10.405 10.422 10.447

1.396 1.396 1.395

550 600 650

700 750 800

1.126 1.148 1.169

0.937 0.959 0.980

1.202 1.197 1.193

1.113 1.126 1.139

0.816 0.829 0.842

1.364 1.358 1.353

14.604 14.645 14.695

10.480 10.521 10.570

1.394 1.392 1.390

700 750 800

900 1000

1.204 1.234

1.015 1.045

1.186 1.181

1.163 1.185

0.866 0.888

1.343 1.335

14.822 14.983

10.698 10.859

1.385 1.380

900 1000

Table A-20

Source: Adapted from K. Wark, Thermodynamics, 4th ed., McGraw-Hill, New York, 1983, as based on “Tables of Thermal Properties of Gases,” NBS Circular 564, 1955.

A-38

Tables in SI Units

TA B L E A - 2 1

Variation of c–p with Temperature for Selected Ideal Gases

–c p 2 3 4 – = α + βT + γT + δT + εT R T is in K, equations valid from 300 to 1000 K Gas

α

β × 103

γ × 106

δ × 109

CO CO2 H2 H2O

3.710 2.401 3.057 4.070

O2 N2 Air SO2

–1.619 8.735 2.677 –1.108

3.692 –6.607 –5.810 4.152

–2.032 2.002 5.521 –2.964

0.240 0 –1.812 0.807

3.626 3.675 3.653 3.267

–1.878 –1.208 –1.337 5.324

7.055 2.324 3.294 0.684

–6.764 –0.632 –1.913 –5.281

2.156 –0.226 0.2763 2.559

CH4 C2H2 C2H4

3.826 1.410 1.426

–3.979 19.057 11.383

24.558 –24.501 7.989

–22.733 16.391 –16.254

6.963 –4.135 6.749

Monatomic gasesa

2.5

0

0

0

ε × 1012

0

– For monatomic gases, such as He, Ne, and Ar, cp is constant over a wide temperature range and is very nearly equal to – 5/2 R.

a

Table A-21

Source: Adapted from K. Wark, Thermodynamics, 4th ed., McGraw-Hill, New York, 1983, as based on NASA SP-273, U.S. Government Printing Office, Washington, DC, 1971.

TA B L E A - 2 2

A-39

Ideal Gas Properties of Air

T(K), h and u (kJ/kg), s° (kJ/kg · K) when ∆s = 01 T

h

u

s°

pr

200 210 220 230 240

199.97 209.97 219.97 230.02 240.02

142.56 149.69 156.82 164.00 171.13

1.29559 1.34444 1.39105 1.43557 1.47824

0.3363 0.3987 0.4690 0.5477 0.6355

250 260 270 280 285

250.05 260.09 270.11 280.13 285.14

178.28 185.45 192.60 199.75 203.33

1.51917 1.55848 1.59634 1.63279 1.65055

0.7329 0.8405 0.9590 1.0889 1.1584

290 295 300 305 310

290.16 295.17 300.19 305.22 310.24

206.91 210.49 214.07 217.67 221.25

1.66802 1.68515 1.70203 1.71865 1.73498

315 320 325 330 340

315.27 320.29 325.31 330.34 340.42

224.85 228.42 232.02 235.61 242.82

350 360 370 380 390

350.49 360.58 370.67 380.77 390.88

400 410 420 430 440

400.98 411.12 421.26 431.43 441.61

when ∆s = 0 T

h

u

s°

pr

450 460 470 480 490

451.80 462.02 472.24 482.49 492.74

322.62 329.97 337.32 344.70 352.08

2.11161 2.13407 2.15604 2.17760 2.19876

5.775 6.245 6.742 7.268 7.824

223.6 211.4 200.1 189.5 179.7

979. 887.8 808.0 738.0 706.1

500 510 520 530 540

503.02 513.32 523.63 533.98 544.35

359.49 366.92 374.36 381.84 389.34

2.21952 2.23993 2.25997 2.27967 2.29906

8.411 9.031 9.684 10.37 11.10

170.6 162.1 154.1 146.7 139.7

1.2311 1.3068 1.3860 1.4686 1.5546

676.1 647.9 621.2 596.0 572.3

550 560 570 580 590

554.74 565.17 575.59 586.04 596.52

396.86 404.42 411.97 419.55 427.15

2.31809 2.33685 2.35531 2.37348 2.39140

11.86 12.66 13.50 14.38 15.31

133.1 127.0 121.2 115.7 110.6

1.75106 1.76690 1.78249 1.79783 1.82790

1.6442 1.7375 1.8345 1.9352 2.149

549.8 528.6 508.4 489.4 454.1

600 610 620 630 640

607.02 617.53 628.07 638.63 649.22

434.78 442.42 450.09 457.78 465.50

2.40902 2.42644 2.44356 2.46048 2.47716

16.28 17.30 18.36 19.84 20.64

105.8 101.2 96.92 92.84 88.99

250.02 257.24 264.46 271.69 278.93

1.85708 1.88543 1.91313 1.94001 1.96633

2.379 2.626 2.892 3.176 3.481

422.2 393.4 367.2 343.4 321.5

650 660 670 680 690

659.84 670.47 681.14 691.82 702.52

473.25 481.01 488.81 496.62 504.45

2.49364 2.50985 2.52589 2.54175 2.55731

21.86 23.13 24.46 25.85 27.29

85.34 81.89 78.61 75.50 72.56

286.16 293.43 300.69 307.99 315.30

1.99194 2.01699 2.04142 2.06533 2.08870

3.806 4.153 4.522 4.915 5.332

301.6 283.3 266.6 251.1 236.8

700 710 720 730 740

713.27 724.04 734.82 745.62 756.44

512.33 520.23 528.14 536.07 544.02

2.57277 2.58810 2.60319 2.61803 2.63280

28.80 30.38 32.02 33.72 35.50

69.76 67.07 64.53 62.13 59.82

1. pr and υr data for use with Eqs. 6.41 and 6.42, respectively.

υr 1707. 1512. 1346. 1205. 1084.

υr

Table A-22

Tables in SI Units

Table A-22

A-40

Tables in SI Units

TA B L E A - 2 2

Ideal Gas Properties of Air (Continued)

T(K), h and u (kJ/kg), s° (kJ/kg · K) when ∆s = 01

when ∆s = 0

T

h

u

s°

pr

υr

T

h

u

s°

pr

υr

750 760 770 780 790

767.29 778.18 789.11 800.03 810.99

551.99 560.01 568.07 576.12 584.21

2.64737 2.66176 2.67595 2.69013 2.70400

37.35 39.27 41.31 43.35 45.55

57.63 55.54 53.39 51.64 49.86

1300 1320 1340 1360 1380

1395.97 1419.76 1443.60 1467.49 1491.44

1022.82 1040.88 1058.94 1077.10 1095.26

3.27345 3.29160 3.30959 3.32724 3.34474

330.9 352.5 375.3 399.1 424.2

11.275 10.747 10.247 9.780 9.337

800 820 840 860 880

821.95 843.98 866.08 888.27 910.56

592.30 608.59 624.95 641.40 657.95

2.71787 2.74504 2.77170 2.79783 2.82344

47.75 52.59 57.60 63.09 68.98

48.08 44.84 41.85 39.12 36.61

1400 1420 1440 1460 1480

1515.42 1539.44 1563.51 1587.63 1611.79

1113.52 1131.77 1150.13 1168.49 1186.95

3.36200 3.37901 3.39586 3.41247 3.42892

450.5 478.0 506.9 537.1 568.8

8.919 8.526 8.153 7.801 7.468

900 920 940 960 980

932.93 955.38 977.92 1000.55 1023.25

674.58 691.28 708.08 725.02 741.98

2.84856 2.87324 2.89748 2.92128 2.94468

75.29 82.05 89.28 97.00 105.2

34.31 32.18 30.22 28.40 26.73

1500 1520 1540 1560 1580

1635.97 1660.23 1684.51 1708.82 1733.17

1205.41 1223.87 1242.43 1260.99 1279.65

3.44516 3.46120 3.47712 3.49276 3.50829

601.9 636.5 672.8 710.5 750.0

7.152 6.854 6.569 6.301 6.046

1000 1020 1040 1060 1080

1046.04 1068.89 1091.85 1114.86 1137.89

758.94 776.10 793.36 810.62 827.88

2.96770 2.99034 3.01260 3.03449 3.05608

114.0 123.4 133.3 143.9 155.2

25.17 23.72 22.39 21.14 19.98

1600 1620 1640 1660 1680

1757.57 1782.00 1806.46 1830.96 1855.50

1298.30 1316.96 1335.72 1354.48 1373.24

3.52364 3.53879 3.55381 3.56867 3.58335

791.2 834.1 878.9 925.6 974.2

5.804 5.574 5.355 5.147 4.949

1100 1120 1140 1160 1180

1161.07 1184.28 1207.57 1230.92 1254.34

845.33 862.79 880.35 897.91 915.57

3.07732 3.09825 3.11883 3.13916 3.15916

167.1 179.7 193.1 207.2 222.2

18.896 17.886 16.946 16.064 15.241

1700 1750 1800 1850 1900

1880.1 1941.6 2003.3 2065.3 2127.4

1392.7 1439.8 1487.2 1534.9 1582.6

3.5979 3.6336 3.6684 3.7023 3.7354

1025 1161 1310 1475 1655

4.761 4.328 3.944 3.601 3.295

1200 1220 1240 1260 1280

1277.79 1301.31 1324.93 1348.55 1372.24

933.33 951.09 968.95 986.90 1004.76

3.17888 3.19834 3.21751 3.23638 3.25510

238.0 254.7 272.3 290.8 310.4

14.470 13.747 13.069 12.435 11.835

1950 2000 2050 2100 2150

2189.7 2252.1 2314.6 2377.4 2440.3

1630.6 1678.7 1726.8 1775.3 1823.8

3.7677 3.7994 3.8303 3.8605 3.8901

1852 2068 2303 2559 2837

3.022 2.776 2.555 2.356 2.175

2200 2250

2503.2 2566.4

1872.4 1921.3

3.9191 3.9474

3138 3464

2.012 1.864

Source: Table A-22 is based on J. H. Keenan and J. Kaye, Gas Tables, Wiley, New York, 1945.

TA B L E A - 2 3

Ideal Gas Properties of Selected Gases

– Enthalpy h (T) and internal energy u–(T), in kJ/kmol. Absolute entropy at 1 atm s–o(T), in kJ/kmol · K. Oxygen, O2 – (hf° = 0 kJ/kmol) – – h s–° u

Nitrogen, N2 – (h°f = 0 kJ/kmol) – – h s–° u

Carbon Dioxide, CO2 – (h°f = –393,520 kJ/kmol) – – s–° h u

Carbon Monoxide, CO – (h°f = –110,530 kJ/kmol) – – h s–° u

Water Vapor, H2O – (h°f = –241,820 kJ/kmol) – – h s–° u

0 220 230 240 250

0 6,601 6,938 7,280 7,627

0 4,772 5,026 5,285 5,548

0 202.966 204.464 205.920 207.337

0 6,391 6,683 6,975 7,266

0 4,562 4,771 4,979 5,188

0 188.683 189.980 191.221 192.411