Complete the expansion rule: C_V=((??U)/?T)_?V=?
a.((??U)/?P)_?H (?P/?T)_?V+((??U)/(??H))_P ((??H)/?T)_?V
b.((??U)/?P)_?H (?P/?T)_?S+((??U)/(??H))_P ((??H)/?T)_?S
c.0+((??U)/(??H))_P ((??H)/?T)_?S
d.((??U)/?P)_?H (?P/?T)_?V+1
e.None of these are the correct expansion of the partial derivative shown.
A. Correct. This is an application of the expansion rule. Molar enthalpy and pressure were chosen as K and L.
B. Incorrect. While molar entropy (S) could be used for the expansion of this term, the variables in its position (Z in Equation 6.49) are already specified as being molar volume (V).
C. Incorrect. The expansion rule cannot return this result for this starting derivative.
D. Incorrect. The expansion rule cannot return this result for this starting derivative.
E. Incorrect. One of these follows the expansion rule correctly.
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