Question

For the relationship, $dH=TdS+VdP$, the Maxwell equation is:

• A. $\frac{\partial T}{\partial P}|_{S}=\frac{\partial V}{\partial S}|_{p}$
• B. $\frac{\partial T}{\partial P}|_{S}=-\frac{\partial V}{\partial S}|_{P}$
• C. $\frac{\partial U}{\partial T}|_{P}=\frac{\partial U}{\partial T}|_{P}$
• D. $\frac{\partial P}{\partial V}|_{T}=\frac{\partial S}{\partial T}|_{T}$

Hint:

To remember Maxwell relations, use the "Thermodynamic Square" or simply look at the differential equation: the variables in the partials come from the differentials ($dP$ and $dS$), and the "coefficients" ($T$ and $V$) become the numerators. If the original signs in the $dH$ equation are both positive, the Maxwell relation is positive.

Answer 1

The Correct Option is A