In the following equation of state, a is constant.
P= RT/?V+ (aT^1.5)/?V^2
Which of the following is a correct expression for the molar enthalpy residual property for this equation of state?
A.RT(Z-1)+(1.5aT^1.5)/?V
B.RT(Z-1)-RT ln??V-(1.5aT^1.5)/?V-P?V
C.RT(Z-1)-(1.5a?T)/?V-P?V
D.RT(Z-1)-(0.5aT^2.5)/?V
E.None of these are the correct expression.
A.Incorrect. You have a sign error in your calculations.
B.Incorrect. You are overlooking a simplification before integration.
C.Incorrect. You have miscopied the equation from Section 6.3.5, find the mistake and restart.
D.Incorrect. You integrated with respect to temperature and molar volume. This is a single integral with respect to V only.
E.Correct. Each one has mistake(s) in it. The correct expression you should have calculated is ?H^R=RT(Z-1)-(0.5aT^1.5)/?V
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