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A mass of air (molecular mass equal to 28.97 g/mol) at 150 kPa and 27 ‰is contained in a frictionless piston-cylinder device. At the initial state, the piston is resting on a pair of stops and the total volume of occupied by the air is 400 L. The mass of the piston is such that a 350 kPa pressure is needed to move it. The air is now heated until its volume has doubled. Draw the process on the PV diagram. Determine: (a) the final temperature; (b) the work done by the air; and (c) the total heat added into the gas. (Hint: you might want to use Table I

A mass of air (molecular mass equal to 28.97 g/mol) at 150 kPa and 27 ‰is contained in a frictionless piston-cylinder device. At the initial state, the piston is resting on a pair of stops and the total volume of occupied by the air is 400 L. The mass of the piston is such that a 350 kPa pressure is needed to move it. The air is now heated until its volume has doubled. Draw the process on the PV diagram. Determine: (a) the final temperature; (b) the work done by the air; and (c) the total heat added into the gas. (Hint: you might want to use Table I

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A mass of air (molecular mass equal to
28.97 g/mol) at 150 kPa and 27 ‰is contained in a
frictionless piston-cylinder device. At the initial state,
the piston is resting on a pair of stops and the total
volume of occupied by the air is 400 L. The mass of
the piston is such that a 350 kPa pressure is needed
to move it. The air is now heated until its volume
has doubled. Draw the process on the PV diagram.
Determine: (a) the final temperature; (b) the work
done by the air; and (c) the total heat added into the
gas. (Hint: you might want to use Table I).

Table I TABLE A-17 Ideal-gas properties of air P. kJ/kg kJ/kg kJ/(kg - K) kJ/kg kajkg kJkg - K) K K 200 199.97 0.3363 142.56 1707.0 1.295 59 580 586.04 14.38 419.55 115.7 2.373 48 596.52 15.31 2.391 40 2.409.02 210 209.97 0.3087 149.69 1512.0 1.344 44 590 427.15 110.6 220 219.97 0.4890 156.82 1346.0 1.391 05 600 607.02 16.28 434.78 105.8 230 230.02 0.5477 164.00 1205.0 1.43557 610 617.53 17.30 442.42 101.2 2.426 44 240 240.02 0.6355 171.13 1084.0 1.478 24 620 628.07 18.36 450.09 96.92 2.443 56 178.28 638.63 19.84 457.78 92.84 2.460 48 2.477 16 250 250.05 0.7329 979.0 1.519 17 630 260 260.09 0.8405 185.45 887.8 1.558 48 640 649.22 20.64 465.50 88.99 270 270.11 0.9590 192.60 806.0 1.596 34 650 669.84 21.66 473.25 86.34 2.493 64 280.13 1.0889 199.75 1.632 79 670.47 23.13 481.01 2509 85 738.0 706.1 260 660 285 285.14 1.1584 203.33 1.650 55 670 681.14 24.46 488.81 78.61 2525 89 25. 85 27.29 28.80 290 290.16 1.2311 206.91 676.1 1.868 02 680 691.82 496.62 75.50 2541 75 72.56 1.3068 1.3860 235 295.17 210.49 647.9 1.685 15 690 702.52 504.45 2.557 31 300 300.19 214.07 621.2 1.702 03 700 713.27 512.33 69.76 257277 520.23 1.4686 1.5546 305.22 217.67 596.0 1.718 65 710 724.04 67.07 2.568 10 30.38 32.02 305 310 310.24 221.25 572.3 1.734 98 720 734.82 528.14 64.53 2603 19 2618 03 2.632 80 1,6442 224.85 536.07 62.13 549.8 528.6 315 315.27 1.751 06 730 745.62 33.72 320 320 29 1.7375 228.42 1.766 90 740 756.44 35.50 544.02 50.82 325 325.31 1.8345 232.02 508.4 1.782 49 750 767.29 37.35 551.99 57.63 2.647 S7 330 330.34 1.9352 235.61 489.4 1.797 83 760 778.18 39.27 560.01 55.54 2.661 76 340 340.42 2.149 242.82 454.1 1.827 90 780 800.03 43.35 576.12 51.64 2 690 13 350.49 422.2 821.95 2.71787 2.379 2.626 350 250.02 1.857 08 800 47.75 582.30 48.08 1.885 43 1.918 13 1.94001 360 360.58 257.24 393.4 820 843.98 52.59 608.59 44.84 2.745 04 370 370.67 2.892 264.46 367.2 840 B66.08 57.60 624.95 41.85 2.771 70 380 380.77 3.176 271.69 343.4 850 688.27 63.09 641.40 39.12 2.797 83 390 390.88 3.481 278.93 321.5 1.966 33 680 910.56 68.98 657.95 36.61 2.823 44 €74.58 2848 56 3.806 4.153 286.16 293.43 400 400.98 301.6 1.991 94 900 932.93 75.29 34.31 283.3 2.016 99 20 955.38 82.05 691.28 708.06 2.873 24 410 411.12 32.18 4.522 300.69 266.6 89.28 2.041 42 2.065 33 2.068 70 420 421.26 977.92 30.22 2.887 45 2.921 28 307.99 315.30 430 431.43 4.915 251.1 960 1000.55 97.00 725.02 28.40 440 441.61 5.332 236.8 980 1023.25 105.2 741.98 26.73 2944 68 5.775 322.62 223.6 2.11161 2.134 07 2.156 04 450 451.80 1000 1046.04 114.0 758.94 25.17 2.967 70 2.990 34 329.97 337.32 462.02 211.4 1068.89 776.10 1020 1040 6.245 123.4 23.72 470 472.24 6.742 200.1 1091.85 133.3 793.36 22.39 3.01260 3.034 49 3.056 08 480 482.49 7.268 344.70 189.5 2.177 60 1060 1114.86 143.9 810.62 21.14 490 492.74 7.824 352.06 179.7 2.198 76 1080 1137.89 156.2 827 88 19.98 500 503.02 a.411 359.49 170.6 2.219 52 1100 1161.07 167.1 845.33 18.896 3.077 32 510 513.32 9.031 366.92 162.1 2.239 93 1120 1184.26 179.7 862.79 17.886 3.098 25 520 530 523.63 9.684 374.36 154.1 2.259 97 1140 1207.57 193.1 Be0.35 16.946 3.11883 533.98 10.37 146.7 2.279 67 1230.92 207.2 89791 16.084 3.139 16 381.84 389.34 1160 540 544.35 11.10 139.7 2.299 06 1180 1254.34 2222 915.57 15.241 3.159 16 550 554.74 11.86 396.86 133.1 2.318 09 1200 1277.79 238.0 93333 14.470 3.178 68 560 565.17 12.66 404.42 127.0 2.336 85 1220 1301.31 254.7 951.09 13.747 3.196 34 570 575.59 13.50 411.97 121.2 2.355 31 1240 1324.93 272.3 968.95 13.069 3.21751 898
Transcribed Image Text:Table I TABLE A-17 Ideal-gas properties of air P. kJ/kg kJ/kg kJ/(kg - K) kJ/kg kajkg kJkg - K) K K 200 199.97 0.3363 142.56 1707.0 1.295 59 580 586.04 14.38 419.55 115.7 2.373 48 596.52 15.31 2.391 40 2.409.02 210 209.97 0.3087 149.69 1512.0 1.344 44 590 427.15 110.6 220 219.97 0.4890 156.82 1346.0 1.391 05 600 607.02 16.28 434.78 105.8 230 230.02 0.5477 164.00 1205.0 1.43557 610 617.53 17.30 442.42 101.2 2.426 44 240 240.02 0.6355 171.13 1084.0 1.478 24 620 628.07 18.36 450.09 96.92 2.443 56 178.28 638.63 19.84 457.78 92.84 2.460 48 2.477 16 250 250.05 0.7329 979.0 1.519 17 630 260 260.09 0.8405 185.45 887.8 1.558 48 640 649.22 20.64 465.50 88.99 270 270.11 0.9590 192.60 806.0 1.596 34 650 669.84 21.66 473.25 86.34 2.493 64 280.13 1.0889 199.75 1.632 79 670.47 23.13 481.01 2509 85 738.0 706.1 260 660 285 285.14 1.1584 203.33 1.650 55 670 681.14 24.46 488.81 78.61 2525 89 25. 85 27.29 28.80 290 290.16 1.2311 206.91 676.1 1.868 02 680 691.82 496.62 75.50 2541 75 72.56 1.3068 1.3860 235 295.17 210.49 647.9 1.685 15 690 702.52 504.45 2.557 31 300 300.19 214.07 621.2 1.702 03 700 713.27 512.33 69.76 257277 520.23 1.4686 1.5546 305.22 217.67 596.0 1.718 65 710 724.04 67.07 2.568 10 30.38 32.02 305 310 310.24 221.25 572.3 1.734 98 720 734.82 528.14 64.53 2603 19 2618 03 2.632 80 1,6442 224.85 536.07 62.13 549.8 528.6 315 315.27 1.751 06 730 745.62 33.72 320 320 29 1.7375 228.42 1.766 90 740 756.44 35.50 544.02 50.82 325 325.31 1.8345 232.02 508.4 1.782 49 750 767.29 37.35 551.99 57.63 2.647 S7 330 330.34 1.9352 235.61 489.4 1.797 83 760 778.18 39.27 560.01 55.54 2.661 76 340 340.42 2.149 242.82 454.1 1.827 90 780 800.03 43.35 576.12 51.64 2 690 13 350.49 422.2 821.95 2.71787 2.379 2.626 350 250.02 1.857 08 800 47.75 582.30 48.08 1.885 43 1.918 13 1.94001 360 360.58 257.24 393.4 820 843.98 52.59 608.59 44.84 2.745 04 370 370.67 2.892 264.46 367.2 840 B66.08 57.60 624.95 41.85 2.771 70 380 380.77 3.176 271.69 343.4 850 688.27 63.09 641.40 39.12 2.797 83 390 390.88 3.481 278.93 321.5 1.966 33 680 910.56 68.98 657.95 36.61 2.823 44 €74.58 2848 56 3.806 4.153 286.16 293.43 400 400.98 301.6 1.991 94 900 932.93 75.29 34.31 283.3 2.016 99 20 955.38 82.05 691.28 708.06 2.873 24 410 411.12 32.18 4.522 300.69 266.6 89.28 2.041 42 2.065 33 2.068 70 420 421.26 977.92 30.22 2.887 45 2.921 28 307.99 315.30 430 431.43 4.915 251.1 960 1000.55 97.00 725.02 28.40 440 441.61 5.332 236.8 980 1023.25 105.2 741.98 26.73 2944 68 5.775 322.62 223.6 2.11161 2.134 07 2.156 04 450 451.80 1000 1046.04 114.0 758.94 25.17 2.967 70 2.990 34 329.97 337.32 462.02 211.4 1068.89 776.10 1020 1040 6.245 123.4 23.72 470 472.24 6.742 200.1 1091.85 133.3 793.36 22.39 3.01260 3.034 49 3.056 08 480 482.49 7.268 344.70 189.5 2.177 60 1060 1114.86 143.9 810.62 21.14 490 492.74 7.824 352.06 179.7 2.198 76 1080 1137.89 156.2 827 88 19.98 500 503.02 a.411 359.49 170.6 2.219 52 1100 1161.07 167.1 845.33 18.896 3.077 32 510 513.32 9.031 366.92 162.1 2.239 93 1120 1184.26 179.7 862.79 17.886 3.098 25 520 530 523.63 9.684 374.36 154.1 2.259 97 1140 1207.57 193.1 Be0.35 16.946 3.11883 533.98 10.37 146.7 2.279 67 1230.92 207.2 89791 16.084 3.139 16 381.84 389.34 1160 540 544.35 11.10 139.7 2.299 06 1180 1254.34 2222 915.57 15.241 3.159 16 550 554.74 11.86 396.86 133.1 2.318 09 1200 1277.79 238.0 93333 14.470 3.178 68 560 565.17 12.66 404.42 127.0 2.336 85 1220 1301.31 254.7 951.09 13.747 3.196 34 570 575.59 13.50 411.97 121.2 2.355 31 1240 1324.93 272.3 968.95 13.069 3.21751 898
Table I TABLE A-17 (Continued) P, kJ/kg kJ/(ke - K) P. kJ/kg K kJ/kg K kJ/kg kJkg - K) 1260 1348.55 290.8 986.90 12.435 3.236 38 1600 1757.57 791.2 1298.30 5.804 3.52364 1280 1372.24 310.4 1004.76 11.835 3.255 10 1620 1782.00 834.1 1316.96 5.574 3.538 79 1300 1395.97 330.9 1022.82 11.275 3.273 45 1640 1806.46 878.9 1335.72 5.355 3.55381 10.747 10.247 1320 1419.76 352.5 1040.88 3.291 60 1860 1830.96 925.6 1354,48 5.147 3.568 67 1340 1443.60 375.3 1058.94 3.309 59 1680 1855.50 974.2 1373.24 4.949 3.583 35 1360 1467.49 399.1 1077.10 9.780 3.327 24 1700 1880.1 1025 1392.7 4.761 3.5979 1380 1491.44 424.2 1095.26 9.337 3.344 74 1750 1941.6 1161 1439.8 4.326 3.6336 1400 1515.42 450.5 1113.52 8.919 3.362 00 1800 2003.3 1310 1487.2 3.944 3.6684 3.601 3.295 1420 1539.44 478.0 1131.77 8.526 3.37901 1850 2065.3 1475 1534.9 3.7023 1440 1563.51 506.9 1150.13 8.153 3.395 86 1900 2127.4 1655 1582.6 3.7354 1460 1587.63 537.1 1168.49 7.801 3.41247 1950 2189.7 1852 1630.6 3.022 3.7677 1480 1611.79 568.8 1186.95 7.468 3.428 92 2000 2252.1 2068 1678.7 2.776 3.7994 2303 2559 2837 2.555 1205.41 1223.87 1500 1635.97 601.9 7.152 3.445 16 2050 2314.6 1726.8 3.8303 2377.4 3.8605 3.8901 1520 1660.23 636.5 6.854 3.461 20 2100 1775.3 2.356 1540 1684.51 672.8 1242.43 6.569 3.477 12 2150 2440.3 1823.8 2.175 2.012 3.9191 1560 1580 1708.82 710.5 1260.99 6.301 3.492 76 2200 2503.2 3138 1872.4 1733.17 750.0 1279.65 6.046 3.508 29 2250 2566.4 3464 1921.3 1.864 3.9474 Source: Konneth Wark, Thermodynamics, 4th ed., McGraw-till, New York, 1983, pp. 785-786, table A-SM. Originaty published in J. H. Keenan and J. Kaye, Gas Tables, Wiley, New York, 1948. 899
Transcribed Image Text:Table I TABLE A-17 (Continued) P, kJ/kg kJ/(ke - K) P. kJ/kg K kJ/kg K kJ/kg kJkg - K) 1260 1348.55 290.8 986.90 12.435 3.236 38 1600 1757.57 791.2 1298.30 5.804 3.52364 1280 1372.24 310.4 1004.76 11.835 3.255 10 1620 1782.00 834.1 1316.96 5.574 3.538 79 1300 1395.97 330.9 1022.82 11.275 3.273 45 1640 1806.46 878.9 1335.72 5.355 3.55381 10.747 10.247 1320 1419.76 352.5 1040.88 3.291 60 1860 1830.96 925.6 1354,48 5.147 3.568 67 1340 1443.60 375.3 1058.94 3.309 59 1680 1855.50 974.2 1373.24 4.949 3.583 35 1360 1467.49 399.1 1077.10 9.780 3.327 24 1700 1880.1 1025 1392.7 4.761 3.5979 1380 1491.44 424.2 1095.26 9.337 3.344 74 1750 1941.6 1161 1439.8 4.326 3.6336 1400 1515.42 450.5 1113.52 8.919 3.362 00 1800 2003.3 1310 1487.2 3.944 3.6684 3.601 3.295 1420 1539.44 478.0 1131.77 8.526 3.37901 1850 2065.3 1475 1534.9 3.7023 1440 1563.51 506.9 1150.13 8.153 3.395 86 1900 2127.4 1655 1582.6 3.7354 1460 1587.63 537.1 1168.49 7.801 3.41247 1950 2189.7 1852 1630.6 3.022 3.7677 1480 1611.79 568.8 1186.95 7.468 3.428 92 2000 2252.1 2068 1678.7 2.776 3.7994 2303 2559 2837 2.555 1205.41 1223.87 1500 1635.97 601.9 7.152 3.445 16 2050 2314.6 1726.8 3.8303 2377.4 3.8605 3.8901 1520 1660.23 636.5 6.854 3.461 20 2100 1775.3 2.356 1540 1684.51 672.8 1242.43 6.569 3.477 12 2150 2440.3 1823.8 2.175 2.012 3.9191 1560 1580 1708.82 710.5 1260.99 6.301 3.492 76 2200 2503.2 3138 1872.4 1733.17 750.0 1279.65 6.046 3.508 29 2250 2566.4 3464 1921.3 1.864 3.9474 Source: Konneth Wark, Thermodynamics, 4th ed., McGraw-till, New York, 1983, pp. 785-786, table A-SM. Originaty published in J. H. Keenan and J. Kaye, Gas Tables, Wiley, New York, 1948. 899
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