Test 1 solution - CHEMICAL ENGINEERING THERMODYNAMICS...

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CHEMICAL ENGINEERING THERMODYNAMICS I (ChBE 2110) Fall 2010, Test-1 NAME: October, 2010 1. (30) Air is compressed by a compressor at a flow rate of 0.1 kmol per second. The temperature and the velocity of air flow are 300 K and 10 m s -1 at the entrance, and 500 K and 4 m s -1 at the exit of the compressor. The compressor works at a steady-state condition. The mechanical power applied to the compressor is 700 kW. Estimate the rate of heat transfer from the compressor. Assume C P = 7/2R, enthalpy is independent of pressure, and potential energy change is ignorable. Molecular weight of air is 29 kg/kmol. Solution T 1 = 300K, T 2 = 500K, u 1 = 10ms -1 , u 2 = 4 ms -1 , M = 29 kg/kmol, KW W S 700 = , s kg s kmol m / 9 . 2 / 1 . 0 = = C P = (7/2)R =29.1 kJ (mol) -1 K -1 =1.003 kJ kg -1 K -1 1 1 2 582 ) 300 500 ( 003 . 1 9 . 2 ) ( - = - × = - = kJS T T C m H m P 1 3 2 2 2 12 . 0 10 ) 10 4 ( 2 1 9 . 2 2 1 - - - = × - × = kJS u m 1 2 12 . 118 700 12 . 0 582 2 1 - - = - - = - + = kJS W u m H m Q s + = + + + W Q m zg u H dt mU d fs cv ] ) 2 1 [( ) ( 2 Steady state No potential energy change One entrance and one exit Only shaft work
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