Need to find W(A->B), W(B->C), W(C->A), W(cycle)... NEED HELP!!! T^T In the PV d
ID: 1707024 • Letter: N
Question
Need to find W(A->B), W(B->C), W(C->A), W(cycle)... NEED HELP!!! T^T
In the PV diagram above, 440 moles of an ideal monatomic gas is taken through the cycle ABCA The process A-B is isobaric. The process B-C is isothermal. The process C-A is isochoric.Explanation / Answer
W( A->B) = n*integration ( - PdV ) ; W( A->B) = -n*integration ( PdV ) ; since P is constant for this process , so it can come out of integration sign; or W( A->B) = -P*n*integration ( dV ); W( A->B) = -P( V2 - V1 ) ; W( A->B) = - ( 4 e5) ( 18 -1 ) W( A->B) = -6.8 e 6 J W(C->A) = 0 since the volume change is zero ; W(B->C) = -nRT ln ( V2 / V1) [ this is the formula for isothermal process ] W(B->C) = -nRT ln ( VC / VB); W(B->C) = -440*8.314 *T *( ln ( 1 / 18); T = PV / nR = [ ( 4 e5)*18 ] / ( 440 * 8.314) = 1968 K . W(B->C) = -440*8.314 *1968 *( ln ( 1 / 18) W(B->C) = 2.08 e 7 J
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