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problem-solution-7 - Chem 444 Instructor Nancy Makri...

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Chem. 444 Instructor: Nancy Makri PROBLEM McQ 20-14 Show that 2 2 1 1 ln ln V T V S C R T V = + for a constant-pressure process if V C is taken from T 1 , V 1 to T 2 , V 2 assuming that V C is independ- ent of temperature. Calculate the value of S if one mole of N 2 (g) is expanded from 20.0 dm 3 at 273 K to 300 dm 3 at 400 K. Take P C = 29.4 JK -1 mol -1 . ( ) ( ) rev V V q C T dT C T dT PdV nRdV dS T T T T V δ = = + = + 2 2 1 1 2 2 1 1 ln ln T V V V T V C dT RdV T V S C R T V T V = + = + Recall P V V P C C R C C R = + = - So after the proper substitutions 1 1 30.6 S JK mol - - = PROBLEM McQ 20-15 In this problem, we will consider a two-compartment system like that in Figure 20.4, except that the two subsystems have the same temperature but different pressures and the wall that separates them is flexible rather than rigid. Show that in this case, ( 29 B B A dV dS P P T = - Interpret this result with regard to the sign of B dV when B A P P and when B A P P < .
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