Which of the following equalities is correct?
A.(?P/?T)_?S=(?T/(??G))_?U ((??G)/?T)_?S+((??P)/(??U))_?S ((??U)/?T)_?G
B.(?Y/?Z)_X (?Z/?X)_Y=(-1)/(?Y/?X)_Z
C.d?G=Pd?V-?S dT
D.d?A=((??A)/?P)_?S dP+((??A)/(??S))_P d?S
E.(?T/?P)_?S=-((??V)/(??S))_P
A. Incorrect. This expansion is full of mistakes, including the use of a nonexistent physical property in the second term on the right-hand side called “molar pressure”.
B. Incorrect. This resembles the triple product rule but the partial derivative in the denominator is incorrect.
C. Incorrect. One of the terms is incorrect.
D. Correct. This is a valid total derivative for molar Helmoltz energy, which you can create using Equation 6.2, even though you have probably never worked with it before.
E. Incorrect. The sign is wrong.
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