If B is a newly-discovered state function, which of these is the total derivative of it in T and S?
A.((??B)/?T)_?S dT+((??B)/(??S))_T d?S
B.((??B)/?T)_?S d?S+((??B)/(??S))_T dT
C.((??B)/?T)_?B dT+((??B)/?S)_?B d?S
D.((??B)/?T)_?S d?S+((??B)/(??S))_T dT
E.None of these
A. Correct. Using Equation 6.2 produces this expansion.
B. Incorrect. Check your work carefully against Equation 6.2.
C. Incorrect. Both of these terms are equal to zero at a mathematical level (Section 6.2.7).
D. Incorrect. This is close; check Equation 6.2 against your work to find the mistake.
E. Incorrect. One of these is the correct total derivative expression.
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