TABLE A-21 Variation of cp with Temperature for Selected Ideal Gases =a+BT+ y+8T + eT* T is in K, equations valid from 300 to 1000 K Gas a x 10 TX 10 5 109 ex10 86 CO 3.710 -1.619 3.692 -2.032 0.240 2.401 8.735 -6.607 2,002 0 H 3.057 2.677 -5.810 5.521 -1.812 HO 4.070 -1.108 4.152 -2.964 0.807 3.626 -1.878 7.055 -6.764 2.156 N 3.675 -1.208 2.324 -0.632 -0.226 Air 3.653 -1.337 3.294 -1.913. 0.2763 SO 3.267 5.324 0.684 -5.281 2.559 CHA 3.826 -3.979 24.558 -22.733 6.963 CH 1.410 19.057 -24.501 16.391 4.135 CH4 1.426 11.383 7.989 -16.254 6.749 Monatomic 2.5 0 0 0 0 gases "For monatomic gases, such as He, Ne, and Ar, C, is constant over a wide temperature range and is very nearly equal to 5/2 R. 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. TABLE A-23 Ideal Gas Properties of Selected Gases Enthalpy H(T) and internal energy (7), in kJ/kmol. Absolute entropy at 1 atm s(7), in kJ/kmol-K. Carbon Dioxide, CO (hi=-393,520 kJ/kmol) Carbon Monoxide, CO (h=-110,530 kJ/kmol) Water Vapor, HO (h=-241,820 kJ/kmol) Nitrogen, N (h =0 kJ/kmol) Oxygen, O (h=0 kJ/kmol) T(K) h h h T(K) 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 220 6,601 4,772 202.966 6,391 4,562 188.683 7,295 5,466 178.576 6,404 4,575 196.171 6,391 4,562 182.638 220 230 6,938 5,026 204.464 6,683 4,771 189.980 7,628 5,715 180.054 6,694 4,782 197.461 6,683 4,770 183.938 230 240 7,280 5,285 205.920 6,975 4,979 191.221 7,961 5,965 181.471 6,984 4,989 198.696 6,975 4,979 185.180 240 250 7,627 5,548 207.337 7,266 5,188 192.411 8,294 6,215 182.831 7,275 5,197 199.885 7,266 5,188 186.370 250 260 7,979 5,817 208.717 7,558 5,396 193.554 8,627 6,466 184.139 7,566 5,405 201.027 7,558 5,396 187.514 260 270 8,335 6,091 210.062 7,849 5,604 194.654 8,961 6,716 185.399 7,858 5,613 202.128 7,849 5,604 188.614 270 280 8,697 6,369 211.376 8,140 5,812 195.173 9,296 6,968 186.616 8,150 5,822 203.191 8,141 5,813 189.673 280 290 9,063 6,651 212.660 8,432 6,020 196.735 9,631 7,219 187.791 8,443 6,032 204.218 8,432 6,021 190.695 290 298 9,364 6,885 213.685 8,669 6,190 197.543 9,904 7,425 188.720 8,682 6,203 205.033 8,669 6,190 191.502 298 300 9,431 6,939 213.915 8,723 6,229 197.723 9,966 7,472 188.928 8,736 6,242 205.213 8,723 6,229 191.682 300 310 9,807 7,230 215.146 9,014 6,437 198.678 10,302 7,725 190.030 9,030 6,453 206.177 9,014 6,437 192.638 310 320 10,186 7,526 216.351 9,306 6,645 199.603 10,639 7,978 191.098 9,325 6,664 207.112 9,306 6,645 193.562 320 330 10,570 7,826 217.534 9,597 6,854 200.500 10,976 340 10,959 8,131 218.694 9,889 7,062 201.371 11,314 8,232 8,487 193.144 192.136 9,620 6,877 208.020 9,597 6,853 194.459 330 9,916 7,090 208.904 9,888 7,061 195.328 340 350 11,351 8,439 219.831 10,181 7,271 202.217 11,652 8,742 194.125 10,213 7,303 360 11,748 8,752 220.948 10,473 7,480 203.040 11,992 8,998 195.081 10,511 7,518 370 12,148 9,068 222.044 10,765 7,689 203.842 12,331 9,255 196.012 10,809 380 12,552 9,392 223.122 11,058 7,899 204.622 12,672 9,513 196.920 11,109 390 12,960 9,718 224.182 11,351 8,108 205.383 13,014 9,771 400 13,372 10,046 225.225 11,644 8,319 206.125 13,356 410 13,787 10,378 226.250 11,938 8,529 206.850 420 14,206 10,714 227.258 12,232 8,740 207.549 430 14,628 11,053 440 15,054 11,393 228.252 229.230 12,821 12,526 8,951 9,163 208.252 208.929 450 15,483 11,742 230.194 13,116 9,375 460 15,916 470 480 490 12,091 231.144 13,412 16,351 12,444 232.080 13,708 16,791 12,800 233.004 14,005 17,232 13,158 14,302 9,587 9,800 233.916 500 17,678 13,521 234.814 206.413 510 18,126 13,885 235.700 520 530 540 550 560 570 20,407 580 18,576 14,253 19,029 14,622 237.439 19,485 14,996 238.292 19,945 15,372 239.135 15,751 239.962 240.789 241.602 236.575 590 20,870 16,131 21,337 16,515 21,807 16,902 242.405 17,307 197.807 10,030 198.673 11,711 13,699 10,290 199.521 12,012 14,043 10,551 200.350 12,314 8,822 215.241 14,388 10,813 201.160 12,618 9,043 215.955 12,518 14,734 11,075 201.955 12,923 9,264 216.656 12,811 9,153 209.593 15,080 11,339 202.734 13,228 9,487 217.342 13,105 9,363 203.523 210.243 15,428 11,603 203.497 13,535 9,710 218.016 13,399 9,574 210.880 15,777 11,869 204.247 13,842 9,935 218.676 13,693 9,786 10,014 211.504 16,126 12,135 204.982 14,151 10,160 219.326 13,988 9,997 10,228 212.117 16,477 12,403 205.705 14,460 10,386 219.963 14,285 10,210 206.033 14,600 10,443 212.719 16,828 12,671 14,770 10,614 14,581 10,423 206.630 14,898 10,658 213.310 17,181 12,940 207.112 15,082 10,842 14,876 10,635 207.216 15,197 10,874 213.890 17,534 13,211 207.799 15,395 11,071 221.812 15,172 10,848 207.792 15,497 11,090 214.460 17,889 13,482 208.475 15,708 11,301 222.409 15,469 11,062 208.358 15,797 11,307 215.020 18,245 13,755 209.139 16,022 11,533 222.997 15,766 11,277 16,097 11,524 215.572 18,601 14,028 209.795 16,338 11,765 223.576 16,064 11,492 16,399 11,743 216.115 18,959 14,303 210.440 16,654 11,998 224.146 16,363 11,707 16,701 11,961 216.649 19,318 14,579 211.075 16,971 12,232 224.708 16,662 11,923 210.528 17,003 12,181 217.175 19,678 14,856 211.702 17,290 12,467 225.262 16,962 12,139 211.049 12,401 217.693 20,039 15,134 212.320 17,609 12,703 225.808 17,262 12,356 211.562 11,409 209.765 210.604 7,733 211.423 7,949 212.222 8,166 213.002 11,347 10,180 10,471 10,763 11,055 7,270 196.173 7,478 196.995 360 7,687 197.794 370 7,895 380 350 198.572 8,104 199.331 390 8,384 8,603 213.765 11,640 8,314 200.071 400 214.510 11,932 8,523 200.794 410 12,225 8,733 201.499 420 8,943 202.189 430 202.863 440 450 204.170 204.803 205.424 460 470 4801 490 220.589 221.206 500 510 520 530 208.914 540 209.461 550 209.999 560 570 580 590 TABLE A-23 Ideal Gas Properties of Selected Gases (Continued) Carbon Dioxide, CO (hi=-393,520 kJ/kmol) Carbon Monoxide, CO (hi=-110,530 kJ/kmol) hand u in kJ/kmol. 5 in kJ/kmol-K Water Vapor, HO (hi=-241,820 kJ/kmol) Oxygen, O (h = 0 kJ/kmol) Nitrogen, N (hi=0 kJ/kmol) T(K) h h 600 22,280 17,291 243.199 17,611 12,622 610 22,754 620 23,231 630 23,709 640 24,190 650 24,674 660 670 680 25,160 17,683 243.983 18,076 244.758 18,471 245.524 18,869 246.282 19,270 247.032 19,672 247.773 25,648 20,078 248.507 26,138 20,484 249.233 690 26,631 20,894 249.952 17,915 12,843 18,221 13,066 18,527 13,289 18,833 13,512 218.204 218.708 219.205 220.179 21,862 19,141 13,736 220.656 22,230 19,449 700 27,125 21,305 250.663 20,690 710 27,622 21,719 251.368 21,002 720 28,121 22,134 252.065 21,315 730 28,622 740 29,124 750 29,629 760 30,135 252.755 253.439 13,962 19,758 14,187 20,068 14,414 20,378 14,641 14,870 15,099 15,328 21,628 15,558 21,943 15,789 254.117 254.787 770 780 790 830 840 34,251 27,267 890 850 34,773 860 35,296 28,125 870 35,821 28,588 880 36,347 29,031 36,876 29,476 27,706 260.551 261.164 261.770 229.106 229.482 900 37,405 910 37,935 920 930 29,922 30,369 38,467 30,818 39,000 31,268 940 39,535 31,719 950 40,070 32,171 960 40,607 32,625 970 41,145 33,081 980 41,685 33,537 990 42,226 33,995 h 20,402 15,413 212.920 17,929 12,940 17,563 12,574 212.066 20,765 15,693 213.529 18,250 13,178 17,864 12,792 212.564 21,130 15,975 214.122 18,572 13,417 18,166 13,011 213.055 219.695 21,495 16,257 214.707 18,895 13,657 18,468 13,230 213.541 19,219 13,898 228.429 18,772 13,450 214.018 215.856 19,544 14,140 228.932 19,075 13,671 221.127 22,600 17,112 216.419 19,870 14,383 229.430 19,380 13,892 221.592 22,970 17,399 216.976 20,197 14,626 229.920 19,685 14,114 222.052 23,342 17,688 217.527 20,524 14,871 230.405 19,991 14,337 222.505 23,714 17,978 218.071 20,854 15,116 230.885 20,297 14,560 222.953 24,088 18,268 21,184 15,364 231.358 20,604 14,784 216.756 223.396 24,464 18,561 21,514 15,611 231.827 20,912 15,008 217.192 223.833 24,840 18,854 21,845 15,859 232.291 21,220 15,234 217.624 22,552 224.265 25,218 19,148 220.189 22,177 16,107 232.748 21,529 15,460 218.059 22,972 224.692 25,597 19,444 220.707 22,510 16,357 233.201 21,839 15,686 218.472 23,393 22,258 16,022 225.115 25,977 19,741 221.215 22,844 16,607 233.649 22,149 15,913 218.889 23,817 22,573 16,255 225.533 26,358 20,039 221.720 23,178 16,859 234.091 22,460 16,141 219.301 30,644 24,242 255.452 22,890 16,488 225.947 26,741 20,339 222.221 23,513 17,111 234.528 22,772 16,370 219.709 31,154 24,669 256.110 23,208 16,723 226.357 27,125 20,639 222.717 23,850 17,364 234.960 23,085 16,599 31,665 25,097 256.762 23,526 16,957 226.762 27,510 20,941 223.207 24,186 17,618 235.387 23,398 16,830 220.512 800 32,179 25,527 257.408 23,844 17,193 227.162 27,896 21,245 223.693 24,523 17,872 23,714 17,061 220.907 810 32,694 25,959 258.048 24,164 17,429 227.559 28,284 21,549 224.174 24,861 18,126 236.230 24,027 17,292 221.298 820 33,212 26,394 258.682 24,483 17,665 227.952 28,672 21,855 224.651 25,199 18,382 236.644 24,342 17,524 221.684 33,730 26,829 259.311 24,803 17,902 228.339 29,062 22,162 225.123 25,537 18,637 237.055 24,658 259.934 25,124 18,140 228.724 29,454 22,470 225.592 25,877 18,893 237.462 24,974 25,446 18,379 29,846 22,779 226.057 26,218 19,150 237.864 25,292 18,224 25,768 18,617 30,240 23,090 226.517 26,559 19,408 238.264 25,610 18,459 26,091 18,858 229.856 30,635 23,402 226.973 26,899 19,666 238.660 25,928 18,695 262.371 26,415 19,099 230.227 31,032 23,715 227.426 27,242 19,925 239.051 26,248 18,931 262.968 26,740 19,341 230.593 31,429 24,029 227.875 27,584 20,185 239.439 26,568 19,168 263.559 27,066 19,583 230.957 31,828 24,345 228.321 27,928 20,445 239.823 26,890 19,407 264.146 27,392 19,826 231.317 32,228 24,662 228.763 28,272 20,706 240.203 27,210 19,644 225.002 264.728 27,719 20,070 231.674 32,629 24,980 229.202 28,616 20,967 240.580 27,532 19,883 225.353 265.304 28,046 20,314 232.028 33,032 25,300 229.637 28,960 21,228 240.953 27,854 20,122 225.701 265.877 28,375 20,559 232.379 33,436 25,621 230.070 29,306 21,491 241.323 28,178 20,362 226.047 266.444 28,703 20,805 232.727 33,841 25,943 230.499 29,652 21,754 241.689 28,501 20,603 267.007 29,033 21,051 233.072 34,247 26,265 230.924 29,999 22,017 242.052 28,826 20,844 267.566 29,362 21,298 233.413 34,653 26,588 231.347 30,345 22,280 242.411 29,151 21,086 268.119 29,693 21,545 233.752 35,061 26,913 231.767 30,692 22,544 242.768 29,476 21,328 268.670 30,024 21,793 234.088 35,472 27,240 232.184 31,041 22,809 243.120 29,803 21,571 U h 5 5 T(K) 226.346 226.877 227.400 227.918 600 610 620 630 16,541 215.285 640 16,826 214.489 214.954 215.413 215.866 650 660 670 680 216.314 690 218.610 219.142 219.668 700 710 720 730 740 750 760 770 220.113 780 790 235.810 800 810 820 17,757 222.067 17,990 830 222.447 840 222.822 850 223.194 860 223.562 870 223.927 880 224.288 890 224.647 900 910 920 930 940 226.389 226.728 227.064 950 960 970 227.398 980 227.728 990