Tables of partial derivatives

5 PARTIAL DERIVATIVES WITH RESPECT TO T, p, AND V 7.5.1 Tables of partial derivatives 

The tables in this section collect useM expressions for partial derivatives of the eight state functions T, p, V, U, H, A, G, and S in a closed, single-phase system. Each derivative is taken with respect to one of the three easily-controlled variables T, p, or V while another of these variables is held constant. We have already seen some of these expressions, and the derivations of the others are indicated below. 

T/)ermoc/yfidm/c and C/iem/sfry, second edition, version 3 2011 by Howard De fee. Latest version wv.chem.umd.edu/thermobook 

Partial General Ideal Partial General Ideal 

We can use these partial derivatives (1) for writing an expression for the total differential of any of the eight quantities, and (2) for expressing the finite change in one of these quantities as an integral under conditions of constant T, p, or V. For instance, given the 

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