2300_hw_8_sol

2300_hw_8_sol - Homework #8 Solutions #1 4-63 The internal...

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Homework #8 Solutions #1 4-63 The internal energy change of hydrogen gas during a heating process is to be determined using an empirical specific heat relation, constant specific heat at average temperature, and constant specific heat at room temperature. Analysis ( a ) Using the empirical relation for ) ( T c p from Table A-2c and relating it to ) ( T c v , ( ) 3 2 ) ( dT cT bT R a R c T c u u p + + + - = - = where a = 29.11, b = -0.1916 10 -2 , c = 0.4003 10 -5 , and d = -0.8704 10 -9 . Then, ( ) [ ] ( ) kJ/kg 6194 = = D = D = - - - + - - - - = - + - + + + - - = + + + - = = D - - - kg/kmol 2.016 kJ/kmol 12,487 kJ/kmol 12,487 ) 200 800 )( 10 8704 . 0 ( ) 200 800 )( 10 4003 . 0 ( ) 200 800 )( 10 1961 . 0 ( ) 200 800 )( 314 . 8 11 . 29 ( ) ( ) ( ) ( ) ( ) ( 4 4 9 4 1 3 3 5 3 1 2 2 2 2 1 4 1 4 2 4 1 3 1 3 2 3 1 2 1 2 2 2 1 1 2 2 1 3 2 2 1 M u u T T d T T c T T b T T R a dT dT cT bT R a dT T c u u u ( b ) Using a constant c p value from Table A-2b at the average temperature of 500 K, kJ/kg 6233 = - = - = D = = 200)K K)(800 kJ/kg (10.389 ) ( K kJ/kg 10.389 1 2 avg , K 500 @ avg , T T c u c c ( c ) Using a constant c p value from Table A-2a at room temperature, kJ/kg 6110 = - = - = D = = 200)K K)(800 kJ/kg (10.183 ) ( K kJ/kg 10.183 1 2 avg , K 300 @ avg , T T c u c c #2 4-120 The compression work from P 1 to P 2 using a polytropic process is to be compared for neon and air. Assumptions The process is quasi-equilibrium.
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2300_hw_8_sol - Homework #8 Solutions #1 4-63 The internal...

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