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Air at 300 K and 200 kPa is heated at constant pressure to 600 K. Determine the change in internal energy of air per unit mass using the function form of the specific heat (Table A-2C) NOTE : State the assumptions and show step by step integration/calculation

Air at 300 K and 200 kPa is heated at constant pressure to 600 K. Determine the change in internal energy of air per unit mass using the function form of the specific heat (Table A-2C) NOTE : State the assumptions and show step by step integration/calculation

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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Air at 300 K and 200 kPa is heated at constant pressure to 600 K. Determine the change in internal energy of air per unit mass using the function form of the specific heat (Table A-2C)

NOTE : State the assumptions and show step by step integration/calculation 

TABLE A-2 Ideal-gas specific heats of various common gases (Concluded) (c) As a function of temperature C, = a + bT + cT² + dT³ (T in K, c, in kJ/kmol - K) % error Temperature Substance Formula range, K Max. Avg. a Nitrogen Oxygen -2.873 x 10-9 N2 02 -0.1571 x 10-2 1.520 x 10-2 0.8081 x 10-5 -0.7155 x 10-5 28.90 273–1800 0.59 0.34 1.312 x 10-9 -1.966 x 10-9 -0.8704 x 10-9 25.48 273–1800 1.19 0.28 0.1967 x 10-2 -0.1916 x 10-2 0.4802 x 10-5 0.4003 x 10-5 Air 28.11 273–1800 0.72 0.33 1.01 0.26 Hydrogen Carbon H2 29.11 273-1800 monoxide co 28.16 0.1675 x 10-2 0.5372 x 10-5 -2.222 x 10-9 273–1800 0.89 0.37 Carbon 5.981 x 10-2 0.1923 x 10-2 29.34 -0.09395 × 10-2 5.8632 x 10-2 7.469 x 10-9 -3.595 x 10-9 -3.501 x 10-5 1.055 x 10-5 0.9747 x 10-5 -3.562 x 10-5 dioxide CO2 H20 NO 22.26 273–1800 0.67 0.22 Water vapor 32.24 273-1800 0.53 0.24 -4.187 x 10-9 10.58 x 10-9 Nitric oxide 273–1500 0.97 0.36 Nitrous oxide N20 24.11 273–1500 0.59 0.26 Nitrogen -3.52 x 10-5 5.715 x 10-2 2.5630 x 10-2 2.218 x 10-2 dioxide 7.87 x 10-9 NO2 NH3 S2 22.9 273–1500 0.46 0.18 0.99072 x 10-5 -1.628 x 10-5 -6.6909 x 10-9 3.986 x 10-9 Ammonia 27.568 273–1500 0.91 0.36 0.38 Sulfur 27.21 273–1800 0.99 Sulfur dioxide SO2 25.78 5.795 x 10-2 -3.812 x 10-5 8.612 x 10-9 273-1800 0.45 0.24 Sulfur SO3 C2H2 14.58 x 10-2 9.2143 x 10-2 -11.20 x 10-5 -6.527 x 10-5 trioxide 16.40 32.42 x 10-9 273–1300 0.29 0.13 18.21 x 10-9 77.62 x 10-9 -8.039 x 10-9 20.05 x 10-9 Acetylene 21.8 273-1500 1.46 0.59 48.475 x 10-2 9.152 x 10-2 20.96 x 10-2 -31.57 x 10-5 -1.22 x 10-5 -10.38 x 10-5 Benzene -36.22 273–1500 0.34 0.20 Methanol 0.18 0.08 CH20 C2H,0 19.0 273–1000 Ethanol 19.9 273–1500 0.40 0.22 Hydrogen 1.327 x 10-5 1.269 x 10-5 -6.406 x 10-5 -4.338 x 10-9 -11.01 x 10-9 7.285 x 10-9 31.74 x 10-9 35.00 x 10-9 49.91 x 10-9 42.29 x 10-9 chloride HCI 30.33 -0.7620 x 10-2 273–1500 0.22 0.08 5.024 x 10-2 17.27 x 10-2 CH4 C2H6 C3H8 C4H10 C4H10 C5H12 C6H14 C2H4 C3H6 Methane 19.89 273-1500 1.33 0.57 Ethane 6.900 273–1500 0.83 0.28 -15.72 x 10-5 -18.34 x 10-5 -23.01 x 10-5 -22.46 x 10-5 Propane -4.04 30.48 x 10-2 273–1500 0.40 0.12 37.15 x 10-2 41.60 x 10-2 45.43 x 10-2 n-Butane 3.96 273–1500 0.54 0.24 i-Butane -7.913 273–1500 0.25 0.13 n-Pentane 6.774 273-1500 0.56 0.21 55.22 x 10-2 15.64 x 10-2 23.83 x 10-2 -28.65 x 10-5 -8.344 x 10-5 57.69 x 10-9 17.67 x 10-9 24.62 x 10-9 n-Hexane 6.938 273–1500 0.72 0.20 Ethylene Propylene 3.95 273–1500 0.54 0.13 3.15 -12.18 x 10-5 273-1500 0.73 0.17 Source: B. G. Kyle, Chemical and Process Thermodynam ics (Englewood Cliffs, NJ: Prentice-Hall, 1984). Used with permission.
Transcribed Image Text:TABLE A-2 Ideal-gas specific heats of various common gases (Concluded) (c) As a function of temperature C, = a + bT + cT² + dT³ (T in K, c, in kJ/kmol - K) % error Temperature Substance Formula range, K Max. Avg. a Nitrogen Oxygen -2.873 x 10-9 N2 02 -0.1571 x 10-2 1.520 x 10-2 0.8081 x 10-5 -0.7155 x 10-5 28.90 273–1800 0.59 0.34 1.312 x 10-9 -1.966 x 10-9 -0.8704 x 10-9 25.48 273–1800 1.19 0.28 0.1967 x 10-2 -0.1916 x 10-2 0.4802 x 10-5 0.4003 x 10-5 Air 28.11 273–1800 0.72 0.33 1.01 0.26 Hydrogen Carbon H2 29.11 273-1800 monoxide co 28.16 0.1675 x 10-2 0.5372 x 10-5 -2.222 x 10-9 273–1800 0.89 0.37 Carbon 5.981 x 10-2 0.1923 x 10-2 29.34 -0.09395 × 10-2 5.8632 x 10-2 7.469 x 10-9 -3.595 x 10-9 -3.501 x 10-5 1.055 x 10-5 0.9747 x 10-5 -3.562 x 10-5 dioxide CO2 H20 NO 22.26 273–1800 0.67 0.22 Water vapor 32.24 273-1800 0.53 0.24 -4.187 x 10-9 10.58 x 10-9 Nitric oxide 273–1500 0.97 0.36 Nitrous oxide N20 24.11 273–1500 0.59 0.26 Nitrogen -3.52 x 10-5 5.715 x 10-2 2.5630 x 10-2 2.218 x 10-2 dioxide 7.87 x 10-9 NO2 NH3 S2 22.9 273–1500 0.46 0.18 0.99072 x 10-5 -1.628 x 10-5 -6.6909 x 10-9 3.986 x 10-9 Ammonia 27.568 273–1500 0.91 0.36 0.38 Sulfur 27.21 273–1800 0.99 Sulfur dioxide SO2 25.78 5.795 x 10-2 -3.812 x 10-5 8.612 x 10-9 273-1800 0.45 0.24 Sulfur SO3 C2H2 14.58 x 10-2 9.2143 x 10-2 -11.20 x 10-5 -6.527 x 10-5 trioxide 16.40 32.42 x 10-9 273–1300 0.29 0.13 18.21 x 10-9 77.62 x 10-9 -8.039 x 10-9 20.05 x 10-9 Acetylene 21.8 273-1500 1.46 0.59 48.475 x 10-2 9.152 x 10-2 20.96 x 10-2 -31.57 x 10-5 -1.22 x 10-5 -10.38 x 10-5 Benzene -36.22 273–1500 0.34 0.20 Methanol 0.18 0.08 CH20 C2H,0 19.0 273–1000 Ethanol 19.9 273–1500 0.40 0.22 Hydrogen 1.327 x 10-5 1.269 x 10-5 -6.406 x 10-5 -4.338 x 10-9 -11.01 x 10-9 7.285 x 10-9 31.74 x 10-9 35.00 x 10-9 49.91 x 10-9 42.29 x 10-9 chloride HCI 30.33 -0.7620 x 10-2 273–1500 0.22 0.08 5.024 x 10-2 17.27 x 10-2 CH4 C2H6 C3H8 C4H10 C4H10 C5H12 C6H14 C2H4 C3H6 Methane 19.89 273-1500 1.33 0.57 Ethane 6.900 273–1500 0.83 0.28 -15.72 x 10-5 -18.34 x 10-5 -23.01 x 10-5 -22.46 x 10-5 Propane -4.04 30.48 x 10-2 273–1500 0.40 0.12 37.15 x 10-2 41.60 x 10-2 45.43 x 10-2 n-Butane 3.96 273–1500 0.54 0.24 i-Butane -7.913 273–1500 0.25 0.13 n-Pentane 6.774 273-1500 0.56 0.21 55.22 x 10-2 15.64 x 10-2 23.83 x 10-2 -28.65 x 10-5 -8.344 x 10-5 57.69 x 10-9 17.67 x 10-9 24.62 x 10-9 n-Hexane 6.938 273–1500 0.72 0.20 Ethylene Propylene 3.95 273–1500 0.54 0.13 3.15 -12.18 x 10-5 273-1500 0.73 0.17 Source: B. G. Kyle, Chemical and Process Thermodynam ics (Englewood Cliffs, NJ: Prentice-Hall, 1984). Used with permission.
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