Question

The Mayer equation allows one to determine the difference between the specific heat of a gas under isochoric or isobaric conditions. One of the partial derivatives required to perform this task is to take OP. OT of an equation of state. One equation of state we have not discussed is the Redlich-Kwong equation which has the following form

V_{m}^{3}-\frac{RT}{P}V_{m}^{2}-(B^2+\frac{BRT}{P}-\frac{A}{PT^{1/2}})V_{m}-\frac{AB}{PT^{1/2}}=0

.

Determine an equation for (\frac{\partial P}{\partial T})_{V} assuming that A,B,R, and T are constant.

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