Given: Matching of thermodynamic partial derivatives with physical quantities.
Find: Which option corresponds to the correct set of matches.
The hint says that standard thermodynamic relations should be used.
The solution provides:
S=−(∂T∂G)P
So the derivative involving G and T at constant P corresponds to −S, which is (II).
Also,
(∂T∂H)P=CP
So the derivative involving H and T at constant P corresponds to CP, which is (I).
The extracted working further states that the third entry matches volume, so that gives (IV).
It also states that the fourth entry matches CV, so that gives (III).
Thus the full matching obtained from the worked solution is:
(A)-(II), (B)-(I), (C)-(IV), (D)-(III).
This arrangement is written explicitly in the solution text. Therefore, the marked correct option on the page is C.