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(a) the empirical specific heat equation as a function of temperature (Table A-2c) (b) the c, value at the average temperature (Table A-2b) (c) the c, value at room temperature (Table A-2a) (d) the ideal gas properties of carbon monoxide table (Table A-21). Calculate the percent error between answers i) d & a, ii) d & b and iii) d & c.

(a) the empirical specific heat equation as a function of temperature (Table A-2c) (b) the c, value at the average temperature (Table A-2b) (c) the c, value at room temperature (Table A-2a) (d) the ideal gas properties of carbon monoxide table (Table A-21). Calculate the percent error between answers i) d & a, ii) d & b and iii) d & c.

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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Answer the last two parts of the question (d) the ideal gas properties of carbon monoxide table (Table A-21). Calculate the percent error between answers i) d & a, li) d & b and i) d & c.
Determine the enthalpy change Ah of carbon monoxide, in kJ/kg, as it is heated from 300K to 1000 K, using: (a) the empirical specific heat equation as a function of temperature (Table A-2c) (b) the c, value at the average temperature (Table A-2b) (c) the c, value at room temperature (Table A-2a) (d) the ideal gas properties of carbon monoxide table (Table A-21). Calculate the percent error between answers i) d & a, ii) d & b and iii) d & c.
Transcribed Image Text:Determine the enthalpy change Ah of carbon monoxide, in kJ/kg, as it is heated from 300K to 1000 K, using: (a) the empirical specific heat equation as a function of temperature (Table A-2c) (b) the c, value at the average temperature (Table A-2b) (c) the c, value at room temperature (Table A-2a) (d) the ideal gas properties of carbon monoxide table (Table A-21). Calculate the percent error between answers i) d & a, ii) d & b and iii) d & c.
PROPERTY TABLES AND CHARTS TABLE A-2 Ideal-gas specific heats of various common gases (Continued) (b) At various temperatures Temperature, K 250 300 350 400 450 500 550 600 650 700 750 800 900 1000 250 300 350 400 450 500 550 600 650 700 750 800 900 1000 Sulfur Sulfur dioxide Sulfur KJ/kg-K trioxide Acetylene Benzene 1.003 1.005 1.008 1.013 Methanol Ethanol Hydrogen 1.020 1.029 1.040 1.051 chloride 1.063 1.075 Methane Ethane Propane n-Butane Bulanc 1.087 1.099 1.121 1.142 14.051 14.307 14.427 14.476 14.501 Substance Nitrogen Oxygen Air Hydrogen Carbon monoxide CO H₂ Carbon dioxide CO H₂O NO Water vapor Nitric oxide Nitrous oxide Nitrogen dioxide Ammonia 14.513 14.530 14.546 14.571 14.604 14.645 14.695 14.822 14.983 Formula N₂ 0₂ N₂O NO₂ NH, S SO₁ SO, CH₂ CH₂ CH₂O CH₂O HCI CH, CH CH₂ kJ/kg-K Air 0.716 0.718 0.721 0.726 CH CH 0.733 0.742 0.753 0.764 0,776 0.788 0.800 0.812 Hydrogen, H -9.927 10.183 10.302 0.834 0.855 CH₂ CH, 10.352 10.377 10.389 10.405 10.422 10.447 10.480 10.521 TABLE A-2 Ideal-gas specific beats of various common gases (Concluded) (c) As a function of temperature 10.570 10.698 10.859 25.78 16.40 21.8 -36.22 k 19.0 19.9 1.401 1.400 1.398 1.395 1.391 -4.04 CH 3.96 CH₂ -7.913 6.774 6.938 3.95 3.15 1.387 1.381 1.376 6.900 1.370 1.364 1.359 1.354 1.344 1.336 1.416 1.405 1.400 1.398 1.398 1.397 1.396 1.396 1.395 1.394 1.392 1.390 1.385 1.380 kJ/kg-K 0.791 0.846 0.895 0.939 0.978 1.014 1.046 1.075 1.102 1.126 1.148 1.169 1.204 1.234 MANAMERIC 1.039 1.039 1.041 a 28.90 25.48 28.11 29.11 -0.1916 x 10 28.16 0.1675 x 10 22.26 5.981 x 10 32.24 0.1923 x 10 29.34 -0.09395 x 10- 24.11 22.9 5.8632 x 10-¹ 5.715 x 10¹ 2.5630 x 10-¹ 27.568 27.21 2.218 x 10 5.795 × 10 14.58 x 10 9.2143 x 10 48.475 x 10¹ 9.152 x 10-1 20.96 x 10 1.044 1.049 1.056 1.065 1.075 1.086 1.098 1.110 1121 1.145 1.167 kJ/kg-K Carbon dioxide, Co, b -0.1571 x 10 1.520 x 10 0.1967 x 10-² 30.33 -0.7620 x 10-¹ 19.89 5.024 x 10² 17.27 x 10¹ 30.48 x 10 37.15 x 10- 41.60 x 10 41.43 x 10- 55.22 x 10- 15.64 x 109 21.81 x 10-¹ MONITION 0.602 0.657 0.706 0.750 0.790 0.825 0.857 0.886 0.913 0.937 0.959 0.980 1.015 1.045 Nitrogen, N, 0.742 0.743 0.744 0.747 0.752 0.759 0.768 0.778 0.789 =a+bT+cT° + dr (T in K. c, in kJ/kmol-K) 0.801 0.813 0.825 0.849 0.870 0.8081 x 10 -0.7155 x 10 0,4802 x 10 0.4003 x 10 0.5372 x 10 -3.501 x 10 1.055 x 105 0.9747 x 10-5 -3.562 x 10 -3.52 x 105 0.99072 x 10- -1.628 x 10 -3.812 x 10 -11.20 x 10 -6.327 x 10 -31.57 x 10-¹ -1.22 x 10 -10.38 x 10 1.327 x 10- 1.269 x 10 -6.406 x 10-5 -15.72 x 10 k Source of Dear Kenneth Wark, Thermodynamics, 4th ed. (New York: McGraw-Hill, 1983), p. 783, Table A-4M. Originally published in Tables of Thermal Properties of Guses, NBS Circular 564, 1955 -18.34 x 10- -23.01 x 10- -22.40 x 10- -28.65 x 10- -8.344 × 10 -12.18 × 10- 1.314 1.288 1.268 1.252 1.239 1.229 1.220 1.213 1.207 1.202 1.197 1.193 1.186 1.181 1.400 1.400 1.399 1.397 1.395 1.391 1.387 1.382 1.376 1.371 1.365 1.360 1.349 1.341 -2.873 x 10- 1.312 x 10 -1.966 x 10 -0.8704 x 10- -2,222 x 10* 7.469 x 10- -3.595 x 10 -4.187 x 10- 10.58 x 10 7.87 x 10 -6.6909 x 10 3.986 x 10 8.612 x 10 32.42 x 10 18.21 x 10¹ 77.62 x 10 -8.039 x 10 20.05 x 10 -4.338 x 10 -11.01 x 10 7.285 x 10- 31.74 x 10 15.00 x 10 49.91 x 10 42.29 x 10 57.69 x 10 17.67 x 10 24.62 x 10 n-Pemanc n-lexane Ethylene Propylene Source of the B.G. Kyle, Chemical and Process Thermob (girevod Clifis, NJ: Penice Hall, 1986) C kJ/kg-K 1.039 1040 1,043 1.047 Carbon monoxide, CO 0.743 0.744 0.746 0.751 1.054 1.063 1.075 1.087 1.100 1.113 1.126 1.139 1.163 1.185 0.913 0.918 0.928 0.941 0.956 0.972 0.988 1.003 1.017 1.031 1.043 1.054 1.074 1.090 C₂ kJ/kg-K 0.757 0.767 0.778 0.790 0.803 0.816 0.829 0.842 0.866 0.888 Oxygen, 0, 0.653 0.658 0.668 0.681 0.696 0.712 0.728 0.743 0.758 0.771 0.783 0.794 0.814 0.830 Temperature range, K k Max. 0.59 1.19 273-1800 273-1800 273-1800 0.72 273-1800 1.01 273-1800 0.89 273-1800 0.67 273-1800 0.5.3 273-1500 0.97 273-1500 0.59 273-1500 0.46 273-1500 0.91 273-1800 0.99 273-1800 0.29 273-1300 273-1300 1.46 273-1500 0.34 273-1000 0.18 273-1500 0.40 0.45 1,400 1.399 1.398 1.395 1.392 1.387 1.382 1.376 1.370 1.364 1.358 1.353 1.343 1.335 1.398 1.395 1.389 1.382 1.373 1.365 1.358 1.350 1.343 1.337 1.332 1.327 1.319 1.313 %error Ave. 0.34 0.28 0.33 0.26 0.37 0.22 0.24 0.36 0.26 0.18 0.36 0.38 0.24 0.13 0.39 0.20 0.08 0.22 273-1500 0.22 273-1500 1.33 273-1500 0.83 273-1500 0,40 273-1500 0.54 273-1500 0.25 273-1300 0.30 273-1500 0.72 0.20 273-1500 0.54 0.13 273-1500 0.73 0.17 0.08 0.57 0.28 0.12 0.24 0.13 0.21
Transcribed Image Text:PROPERTY TABLES AND CHARTS TABLE A-2 Ideal-gas specific heats of various common gases (Continued) (b) At various temperatures Temperature, K 250 300 350 400 450 500 550 600 650 700 750 800 900 1000 250 300 350 400 450 500 550 600 650 700 750 800 900 1000 Sulfur Sulfur dioxide Sulfur KJ/kg-K trioxide Acetylene Benzene 1.003 1.005 1.008 1.013 Methanol Ethanol Hydrogen 1.020 1.029 1.040 1.051 chloride 1.063 1.075 Methane Ethane Propane n-Butane Bulanc 1.087 1.099 1.121 1.142 14.051 14.307 14.427 14.476 14.501 Substance Nitrogen Oxygen Air Hydrogen Carbon monoxide CO H₂ Carbon dioxide CO H₂O NO Water vapor Nitric oxide Nitrous oxide Nitrogen dioxide Ammonia 14.513 14.530 14.546 14.571 14.604 14.645 14.695 14.822 14.983 Formula N₂ 0₂ N₂O NO₂ NH, S SO₁ SO, CH₂ CH₂ CH₂O CH₂O HCI CH, CH CH₂ kJ/kg-K Air 0.716 0.718 0.721 0.726 CH CH 0.733 0.742 0.753 0.764 0,776 0.788 0.800 0.812 Hydrogen, H -9.927 10.183 10.302 0.834 0.855 CH₂ CH, 10.352 10.377 10.389 10.405 10.422 10.447 10.480 10.521 TABLE A-2 Ideal-gas specific beats of various common gases (Concluded) (c) As a function of temperature 10.570 10.698 10.859 25.78 16.40 21.8 -36.22 k 19.0 19.9 1.401 1.400 1.398 1.395 1.391 -4.04 CH 3.96 CH₂ -7.913 6.774 6.938 3.95 3.15 1.387 1.381 1.376 6.900 1.370 1.364 1.359 1.354 1.344 1.336 1.416 1.405 1.400 1.398 1.398 1.397 1.396 1.396 1.395 1.394 1.392 1.390 1.385 1.380 kJ/kg-K 0.791 0.846 0.895 0.939 0.978 1.014 1.046 1.075 1.102 1.126 1.148 1.169 1.204 1.234 MANAMERIC 1.039 1.039 1.041 a 28.90 25.48 28.11 29.11 -0.1916 x 10 28.16 0.1675 x 10 22.26 5.981 x 10 32.24 0.1923 x 10 29.34 -0.09395 x 10- 24.11 22.9 5.8632 x 10-¹ 5.715 x 10¹ 2.5630 x 10-¹ 27.568 27.21 2.218 x 10 5.795 × 10 14.58 x 10 9.2143 x 10 48.475 x 10¹ 9.152 x 10-1 20.96 x 10 1.044 1.049 1.056 1.065 1.075 1.086 1.098 1.110 1121 1.145 1.167 kJ/kg-K Carbon dioxide, Co, b -0.1571 x 10 1.520 x 10 0.1967 x 10-² 30.33 -0.7620 x 10-¹ 19.89 5.024 x 10² 17.27 x 10¹ 30.48 x 10 37.15 x 10- 41.60 x 10 41.43 x 10- 55.22 x 10- 15.64 x 109 21.81 x 10-¹ MONITION 0.602 0.657 0.706 0.750 0.790 0.825 0.857 0.886 0.913 0.937 0.959 0.980 1.015 1.045 Nitrogen, N, 0.742 0.743 0.744 0.747 0.752 0.759 0.768 0.778 0.789 =a+bT+cT° + dr (T in K. c, in kJ/kmol-K) 0.801 0.813 0.825 0.849 0.870 0.8081 x 10 -0.7155 x 10 0,4802 x 10 0.4003 x 10 0.5372 x 10 -3.501 x 10 1.055 x 105 0.9747 x 10-5 -3.562 x 10 -3.52 x 105 0.99072 x 10- -1.628 x 10 -3.812 x 10 -11.20 x 10 -6.327 x 10 -31.57 x 10-¹ -1.22 x 10 -10.38 x 10 1.327 x 10- 1.269 x 10 -6.406 x 10-5 -15.72 x 10 k Source of Dear Kenneth Wark, Thermodynamics, 4th ed. (New York: McGraw-Hill, 1983), p. 783, Table A-4M. Originally published in Tables of Thermal Properties of Guses, NBS Circular 564, 1955 -18.34 x 10- -23.01 x 10- -22.40 x 10- -28.65 x 10- -8.344 × 10 -12.18 × 10- 1.314 1.288 1.268 1.252 1.239 1.229 1.220 1.213 1.207 1.202 1.197 1.193 1.186 1.181 1.400 1.400 1.399 1.397 1.395 1.391 1.387 1.382 1.376 1.371 1.365 1.360 1.349 1.341 -2.873 x 10- 1.312 x 10 -1.966 x 10 -0.8704 x 10- -2,222 x 10* 7.469 x 10- -3.595 x 10 -4.187 x 10- 10.58 x 10 7.87 x 10 -6.6909 x 10 3.986 x 10 8.612 x 10 32.42 x 10 18.21 x 10¹ 77.62 x 10 -8.039 x 10 20.05 x 10 -4.338 x 10 -11.01 x 10 7.285 x 10- 31.74 x 10 15.00 x 10 49.91 x 10 42.29 x 10 57.69 x 10 17.67 x 10 24.62 x 10 n-Pemanc n-lexane Ethylene Propylene Source of the B.G. Kyle, Chemical and Process Thermob (girevod Clifis, NJ: Penice Hall, 1986) C kJ/kg-K 1.039 1040 1,043 1.047 Carbon monoxide, CO 0.743 0.744 0.746 0.751 1.054 1.063 1.075 1.087 1.100 1.113 1.126 1.139 1.163 1.185 0.913 0.918 0.928 0.941 0.956 0.972 0.988 1.003 1.017 1.031 1.043 1.054 1.074 1.090 C₂ kJ/kg-K 0.757 0.767 0.778 0.790 0.803 0.816 0.829 0.842 0.866 0.888 Oxygen, 0, 0.653 0.658 0.668 0.681 0.696 0.712 0.728 0.743 0.758 0.771 0.783 0.794 0.814 0.830 Temperature range, K k Max. 0.59 1.19 273-1800 273-1800 273-1800 0.72 273-1800 1.01 273-1800 0.89 273-1800 0.67 273-1800 0.5.3 273-1500 0.97 273-1500 0.59 273-1500 0.46 273-1500 0.91 273-1800 0.99 273-1800 0.29 273-1300 273-1300 1.46 273-1500 0.34 273-1000 0.18 273-1500 0.40 0.45 1,400 1.399 1.398 1.395 1.392 1.387 1.382 1.376 1.370 1.364 1.358 1.353 1.343 1.335 1.398 1.395 1.389 1.382 1.373 1.365 1.358 1.350 1.343 1.337 1.332 1.327 1.319 1.313 %error Ave. 0.34 0.28 0.33 0.26 0.37 0.22 0.24 0.36 0.26 0.18 0.36 0.38 0.24 0.13 0.39 0.20 0.08 0.22 273-1500 0.22 273-1500 1.33 273-1500 0.83 273-1500 0,40 273-1500 0.54 273-1500 0.25 273-1300 0.30 273-1500 0.72 0.20 273-1500 0.54 0.13 273-1500 0.73 0.17 0.08 0.57 0.28 0.12 0.24 0.13 0.21
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Step 1: Introduction

 To determine the enthalpy change and to calculate percentage error between specific enthapies

where t subscript 1 equals 300 space K, t subscript 2 equals 1000 K







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