Which of the following partial derivative equations is NOT true?
A.(?T/?T)_?H=1
B.k(?F/?F)_Z (?Z/?X)_Z=0
C.(?P/?T)_?V=-((??S)/(??V))_T
D.(?Y/?Z)_X (?Z/?X)_Y (?X/?Y)_Z=-1
E.All of these are true.
A. Incorrect. This is a simple calculation from Section 6.2.7.
B. Incorrect. The second partial derivative is zero (Section 6.2.7), so the entire term must be 0.
C. Correct. This is Equation 6.62 (one of Maxwell’s) but with a spurious negative sign.
D. Incorrect. This is a triple product rule example.
E. Incorrect. One of them is wrong.
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