7.4: Appendix D - Thermodynamic Properties of Carbon Dioxide
- Page ID
- 89830
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Table D1: Saturated CO2
|
T (oC) |
P (MPa) |
Specific Volume m3/kg |
Specific Internal Energy kJ/kg |
Specific Enthalpy kJ/kg |
Specific Entropy kJ/kgK |
||||
|---|---|---|---|---|---|---|---|---|---|
| vf | vg | uf | ug | hf | hg | sf | sg | ||
| -50 | 0.68234 | 0.000866 | 0.055789 | 92.35 | 394.61 | 92.94 | 432.68 | 0.5794 | 2.1018 |
| -48 | 0.73949 | 0.000872 | 0.051618 | 96.26 | 395.12 | 96.90 | 433.29 | 0.5968 | 2.0909 |
| -46 | 0.80015 | 0.000878 | 0.047819 | 100.18 | 395.60 | 100.88 | 433.86 | 0.6142 | 2.0801 |
| -44 | 0.86445 | 0.000883 | 0.044352 | 104.11 | 396.05 | 104.87 | 434.39 | 0.6314 | 2.0694 |
| -42 | 0.93252 | 0.000889 | 0.041184 | 108.05 | 396.47 | 108.88 | 434.88 | 0.6486 | 2.0589 |
| -40 | 1.00450 | 0.000896 | 0.038284 | 112.00 | 396.87 | 112.90 | 435.32 | 0.6656 | 2.0485 |
| -38 | 1.08051 | 0.000902 | 0.035624 | 115.97 | 397.23 | 116.95 | 435.72 | 0.6826 | 2.0382 |
| -36 | 1.16071 | 0.000909 | 0.033181 | 119.96 | 397.56 | 121.01 | 436.07 | 0.6995 | 2.0281 |
| -34 | 1.24522 | 0.000915 | 0.030935 | 123.96 | 397.85 | 125.10 | 436.37 | 0.7163 | 2.0180 |
| -32 | 1.33419 | 0.000922 | 0.028865 | 127.97 | 398.11 | 129.20 | 436.62 | 0.7331 | 2.0079 |
| -30 | 1.42776 | 0.000930 | 0.026956 | 132.01 | 398.33 | 133.34 | 436.82 | 0.7498 | 1.9980 |
| -28 | 1.52607 | 0.000937 | 0.025192 | 136.07 | 398.52 | 137.50 | 436.96 | 0.7665 | 1.9880 |
| -26 | 1.62926 | 0.000945 | 0.023560 | 140.15 | 398.65 | 141.69 | 437.04 | 0.7831 | 1.9781 |
| -24 | 1.73749 | 0.000953 | 0.022048 | 144.25 | 398.75 | 145.91 | 437.06 | 0.7997 | 1.9683 |
| -22 | 1.85089 | 0.000961 | 0.020645 | 148.38 | 398.80 | 150.16 | 437.01 | 0.8163 | 1.9584 |
| -20 | 1.96963 | 0.000969 | 0.019343 | 152.54 | 398.79 | 154.45 | 436.89 | 0.8328 | 1.9485 |
| -18 | 2.09384 | 0.000978 | 0.018131 | 156.73 | 398.74 | 158.78 | 436.70 | 0.8494 | 1.9387 |
| -16 | 2.22370 | 0.000987 | 0.017002 | 160.95 | 398.63 | 163.14 | 436.44 | 0.8659 | 1.9287 |
| -14 | 2.35935 | 0.000997 | 0.015950 | 165.20 | 398.46 | 167.55 | 436.09 | 0.8825 | 1.9187 |
| -12 | 2.50095 | 0.001007 | 0.014967 | 169.49 | 398.23 | 172.01 | 435.66 | 0.8991 | 1.9087 |
| -10 | 2.64868 | 0.001017 | 0.014048 | 173.83 | 397.93 | 176.52 | 435.14 | 0.9157 | 1.8985 |
| -8 | 2.80269 | 0.001028 | 0.013188 | 178.20 | 397.55 | 181.09 | 434.51 | 0.9324 | 1.8882 |
| -6 | 2.96316 | 0.001040 | 0.012381 | 182.63 | 397.10 | 185.71 | 433.79 | 0.9491 | 1.8778 |
| -4 | 3.13027 | 0.001052 | 0.011624 | 187.11 | 396.57 | 190.40 | 432.95 | 0.9660 | 1.8672 |
| -2 | 3.30420 | 0.001065 | 0.010912 | 191.64 | 395.93 | 195.16 | 431.99 | 0.9829 | 1.8564 |
| 0 | 3.48514 | 0.001078 | 0.010241 | 196.24 | 395.20 | 200.00 | 430.89 | 1.0000 | 1.8453 |
| 2 | 3.67329 | 0.001093 | 0.009609 | 200.91 | 394.36 | 204.93 | 429.65 | 1.0172 | 1.8340 |
| 4 | 3.86884 | 0.001108 | 0.009011 | 205.66 | 393.39 | 209.95 | 428.25 | 1.0346 | 1.8223 |
| 6 | 4.07202 | 0.001124 | 0.008445 | 210.50 | 392.28 | 215.08 | 426.67 | 1.0523 | 1.8103 |
| 8 | 4.28306 | 0.001142 | 0.007909 | 215.44 | 391.02 | 220.34 | 424.89 | 1.0702 | 1.7977 |
| 10 | 4.50218 | 0.001161 | 0.007399 | 220.50 | 389.57 | 225.73 | 422.88 | 1.0884 | 1.7847 |
| 12 | 4.72966 | 0.001182 | 0.006912 | 225.69 | 387.92 | 231.29 | 420.62 | 1.1070 | 1.7710 |
| 14 | 4.96577 | 0.001205 | 0.006447 | 231.05 | 386.03 | 237.03 | 418.05 | 1.1261 | 1.7565 |
| 16 | 5.21080 | 0.001231 | 0.006000 | 236.59 | 383.86 | 243.01 | 415.12 | 1.1458 | 1.7411 |
| 18 | 5.46511 | 0.001260 | 0.005569 | 242.38 | 381.33 | 249.26 | 411.77 | 1.1663 | 1.7244 |
| 20 | 5.72905 | 0.001293 | 0.005149 | 248.46 | 378.37 | 255.87 | 407.87 | 1.1877 | 1.7062 |
| 22 | 6.00308 | 0.001332 | 0.004737 | 254.93 | 374.83 | 262.93 | 403.27 | 1.2105 | 1.6860 |
| 24 | 6.28773 | 0.001379 | 0.004327 | 261.94 | 370.50 | 270.61 | 397.70 | 1.2352 | 1.6629 |
| 26 | 6.58368 | 0.001440 | 0.003908 | 269.78 | 364.98 | 279.26 | 390.71 | 1.2628 | 1.6353 |
| 28 | 6.89182 | 0.001526 | 0.003459 | 279.11 | 357.36 | 289.62 | 381.20 | 1.2958 | 1.5999 |
| 30 | 7.21369 | 0.001685 | 0.002898 | 292.40 | 344.23 | 304.55 | 365.13 | 1.3435 | 1.5433 |
| 30.9782 | 7.37730 | 0.002139 | 0.002139 | 316.47 | 316.47 | 332.25 | 332.25 | 1.4336 | 1.4336 |
Table D2: Superheated CO2
| T (oC) |
v m3/kg |
u kJ/kg |
h kJ/kg |
s kJ/kgK |
v m3/kg |
u kJ/kg |
h kJ/kg |
s kJ/kgK |
|---|---|---|---|---|---|---|---|---|
| P = 400 kPa | P = 800 kPa (Sat. T = -46.00 oC) | |||||||
| Sat | – | – | – | – | 0.046807 | 395.73 | 434.01 | 2.0771 |
| -40 | 0.10499 | 405.37 | 447.36 | 2.2603 | 0.049662 | 399.96 | 439.69 | 2.1054 |
| -20 | 0.11538 | 418.21 | 464.36 | 2.3302 | 0.055455 | 414.03 | 458.40 | 2.1825 |
| 0 | 0.12552 | 431.21 | 481.42 | 2.3951 | 0.060937 | 427.82 | 476.57 | 2.2516 |
| 20 | 0.13551 | 444.47 | 498.67 | 2.4561 | 0.066231 | 441.64 | 494.62 | 2.3153 |
| 40 | 0.14538 | 458.04 | 516.19 | 2.5139 | 0.071401 | 455.61 | 512.73 | 2.3751 |
| 60 | 0.15518 | 471.93 | 534.00 | 2.5690 | 0.076484 | 469.81 | 530.99 | 2.4316 |
| 80 | 0.16491 | 486.15 | 552.12 | 2.6218 | 0.081503 | 484.27 | 549.47 | 2.4855 |
| 100 | 0.17460 | 500.70 | 570.54 | 2.6725 | 0.086474 | 499.02 | 568.20 | 2.5371 |
| 120 | 0.18425 | 515.57 | 589.28 | 2.7214 | 0.091408 | 514.05 | 587.18 | 2.5866 |
| 140 | 0.19388 | 530.76 | 608.31 | 2.7687 | 0.096313 | 529.37 | 606.42 | 2.6343 |
| 160 | 0.20348 | 546.25 | 627.64 | 2.8143 | 0.101194 | 544.97 | 625.93 | 2.6805 |
| 180 | 0.21307 | 562.04 | 647.26 | 2.8586 | 0.106056 | 560.86 | 645.70 | 2.7251 |
| 200 | 0.22264 | 578.11 | 667.16 | 2.9016 | 0.110902 | 577.01 | 665.73 | 2.7683 |
| 220 | 0.23219 | 594.45 | 687.33 | 2.9433 | 0.115734 | 593.43 | 686.01 | 2.8103 |
| 240 | 0.24174 | 611.06 | 707.75 | 2.9839 | 0.120555 | 610.10 | 706.55 | 2.8511 |
| 260 | 0.25127 | 627.92 | 728.43 | 3.0235 | 0.125367 | 627.02 | 727.32 | 2.8908 |
| T (oC) |
v m3/kg |
u kJ/kg |
h kJ/kg |
s kJ/kgK |
v m3/kg |
u kJ/kg |
h kJ/kg |
s kJ/kgK |
|---|---|---|---|---|---|---|---|---|
| P = 1000 kPa (Sat. T = -40.12 oC) | P = 1400 kPa (Sat. T = -30.58 oC) | |||||||
| Sat | 0.03779 | 396.93 | 435.40 | 2.0467 | 0.027145 | 398.31 | 436.80 | 1.9990 |
| -20 | 0.04342 | 411.80 | 455.21 | 2.1312 | 0.029569 | 406.95 | 448.34 | 2.0476 |
| 0 | 0.04799 | 426.05 | 474.04 | 2.2028 | 0.033153 | 422.32 | 468.73 | 2.1251 |
| 20 | 0.05236 | 440.17 | 492.53 | 2.2681 | 0.036483 | 437.13 | 488.21 | 2.1939 |
| 40 | 0.05660 | 454.36 | 510.96 | 2.3289 | 0.039661 | 451.80 | 507.33 | 2.2570 |
| 60 | 0.06074 | 468.73 | 529.47 | 2.3862 | 0.042739 | 466.52 | 526.35 | 2.3159 |
| 80 | 0.06482 | 483.32 | 548.14 | 2.4406 | 0.045746 | 481.38 | 545.43 | 2.3715 |
| 100 | 0.06885 | 498.17 | 567.01 | 2.4926 | 0.048700 | 496.44 | 564.62 | 2.4244 |
| 120 | 0.07284 | 513.28 | 586.12 | 2.5425 | 0.051615 | 511.73 | 583.99 | 2.4750 |
| 140 | 0.07680 | 528.67 | 605.47 | 2.5905 | 0.054499 | 527.26 | 603.56 | 2.5235 |
| 160 | 0.08074 | 544.33 | 625.07 | 2.6368 | 0.057358 | 543.04 | 623.34 | 2.5703 |
| 180 | 0.08465 | 560.26 | 644.92 | 2.6816 | 0.060197 | 559.07 | 643.35 | 2.6154 |
| 200 | 0.08856 | 576.46 | 665.02 | 2.7250 | 0.063019 | 575.36 | 663.58 | 2.6591 |
| 220 | 0.09244 | 592.91 | 685.36 | 2.7671 | 0.065828 | 591.89 | 684.05 | 2.7015 |
| 240 | 0.09632 | 609.62 | 705.94 | 2.8080 | 0.068625 | 608.66 | 704.73 | 2.7426 |
| 260 | 0.10019 | 626.57 | 726.76 | 2.8478 | 0.071413 | 625.67 | 725.65 | 2.7826 |
| 280 | 0.10405 | 643.76 | 747.81 | 2.8866 | 0.074192 | 642.91 | 746.78 | 2.8215 |
| T (oC) |
v m3/kg |
u kJ/kg |
h kJ/kg |
s kJ/kgK |
v m3/kg |
u kJ/kg |
h kJ/kg |
s kJ/kgK |
|---|---|---|---|---|---|---|---|---|
| P = 2000 kPa (Sat. T = -19.50 oC) | P = 3000 kPa (Sat. T = -5.55 oC) | |||||||
| Sat | 0.01885 | 398.78 | 436.83 | 1.9446 | 0.012124 | 396.93 | 433.52 | 1.8743 |
| 0 | 0.02193 | 416.15 | 460.00 | 2.0341 | 0.012931 | 403.43 | 442.22 | 1.9073 |
| 20 | 0.02453 | 432.27 | 481.32 | 2.1095 | 0.015116 | 423.12 | 468.46 | 2.0001 |
| 40 | 0.02693 | 447.78 | 501.65 | 2.1766 | 0.016980 | 440.52 | 491.46 | 2.0760 |
| 60 | 0.02922 | 463.09 | 521.54 | 2.2381 | 0.018683 | 457.04 | 513.09 | 2.1430 |
| 80 | 0.03143 | 478.40 | 541.27 | 2.2956 | 0.020287 | 473.21 | 534.07 | 2.2041 |
| 100 | 0.03359 | 493.80 | 560.97 | 2.3499 | 0.021824 | 489.25 | 554.73 | 2.2610 |
| 120 | 0.03570 | 509.36 | 580.76 | 2.4016 | 0.023313 | 505.32 | 575.26 | 2.3146 |
| 140 | 0.03777 | 525.12 | 600.67 | 2.4509 | 0.024766 | 521.48 | 595.77 | 2.3655 |
| 160 | 0.03982 | 541.09 | 620.73 | 2.4984 | 0.026191 | 537.77 | 616.35 | 2.4142 |
| 180 | 0.04186 | 557.27 | 640.99 | 2.5441 | 0.027594 | 554.24 | 637.02 | 2.4608 |
| 200 | 0.04387 | 573.69 | 661.43 | 2.5882 | 0.028979 | 570.89 | 657.83 | 2.5058 |
| 220 | 0.04587 | 590.34 | 682.08 | 2.6310 | 0.030350 | 587.74 | 678.79 | 2.5491 |
| 240 | 0.04786 | 607.21 | 702.92 | 2.6724 | 0.031708 | 604.79 | 699.91 | 2.5911 |
| 260 | 0.04983 | 624.31 | 723.98 | 2.7127 | 0.033057 | 622.04 | 721.21 | 2.6318 |
| 280 | 0.05180 | 641.63 | 745.24 | 2.7518 | 0.034396 | 639.49 | 742.68 | 2.6714 |
| 300 | 0.05377 | 659.17 | 766.70 | 2.7899 | 0.035729 | 657.15 | 764.34 | 2.7098 |
| T (oC) |
v m3/kg |
u kJ/kg |
h kJ/kg |
s kJ/kgK |
v m3/kg |
u kJ/kg |
h kJ/kg |
s kJ/kgK |
|---|---|---|---|---|---|---|---|---|
| P = 6000 kPa (Sat. T = 21.97 oC) | P = 10000 kPa | |||||||
| Sat | 0.00474 | 374.87 | 403.32 | 1.6862 | – | – | – | – |
| 20 | – | – | – | – | 0.001168 | 231.02 | 242.70 | 1.1251 |
| 40 | 0.00670 | 411.53 | 451.72 | 1.8462 | 0.001591 | 297.13 | 313.04 | 1.3563 |
| 60 | 0.00801 | 435.41 | 483.45 | 1.9445 | 0.003449 | 390.53 | 425.02 | 1.7045 |
| 80 | 0.00908 | 455.64 | 510.12 | 2.0223 | 0.004513 | 425.72 | 470.85 | 1.8384 |
| 100 | 0.01004 | 474.37 | 534.60 | 2.0898 | 0.005303 | 451.11 | 504.14 | 1.9302 |
| 120 | 0.01092 | 492.37 | 557.92 | 2.1507 | 0.005977 | 473.09 | 532.86 | 2.0052 |
| 140 | 0.01176 | 510.00 | 580.59 | 2.2069 | 0.006584 | 493.44 | 559.28 | 2.0708 |
| 160 | 0.01257 | 527.46 | 602.88 | 2.2596 | 0.007147 | 512.90 | 584.37 | 2.1301 |
| 180 | 0.01335 | 544.87 | 624.96 | 2.3094 | 0.007679 | 531.85 | 608.64 | 2.1849 |
| 200 | 0.01411 | 562.31 | 646.95 | 2.3569 | 0.008188 | 550.51 | 632.39 | 2.2362 |
| 220 | 0.01485 | 579.81 | 668.91 | 2.4024 | 0.008679 | 569.03 | 655.82 | 2.2847 |
| 240 | 0.01558 | 597.43 | 690.90 | 2.4461 | 0.009156 | 587.48 | 679.04 | 2.3308 |
| 260 | 0.01630 | 615.17 | 712.95 | 2.4882 | 0.009622 | 605.94 | 702.16 | 2.3750 |
| 280 | 0.01701 | 633.05 | 735.09 | 2.5290 | 0.010078 | 624.44 | 725.22 | 2.4175 |
| 300 | 0.01771 | 651.09 | 757.34 | 2.5685 | 0.010527 | 643.01 | 748.28 | 2.4584 |
| 320 | 0.01840 | 669.28 | 779.70 | 2.6069 | 0.010969 | 661.67 | 771.36 | 2.4980 |
Reference States, IIR Convention
- Enthalpy H = 200 kJ/kg at 0°C for saturated liquid.
- Entropy S = 1 kJ/kg-K at 0°C for saturated liquid.
Source: Eric W. Lemmon, Mark O. McLinden and Daniel G. Friend, “Thermophysical Properties of Fluid Systems” in NIST Chemistry WebBook, NIST Standard Reference Database Number 69, Eds. P.J. Linstrom and W.G. Mallard, National Institute of Standards and Technology, Gaithersburg MD, 20899, https://doi.org/10.18434/T4D303, (retrieved May 2021).