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What are the following partial derivatives for the van der Waals equation of state? The number of moles is constant so let’s use the molar volume form of the equation: What are the following partial derivatives for the van der Waals equation of state? The number of moles is constant so let’s use the molar volume form of the equation:                                         (P+a/V2) (V-b) = RT a) (∂P/∂a)V,T,b     b) (∂P/∂b)V,T,a  Provide an interpretation for the partial derivatives in parts a) and b).

What are the following partial derivatives for the van der Waals equation of state? The number of moles is constant so let’s use the molar volume form of the equation: What are the following partial derivatives for the van der Waals equation of state? The number of moles is constant so let’s use the molar volume form of the equation:                                         (P+a/V2) (V-b) = RT a) (∂P/∂a)V,T,b     b) (∂P/∂b)V,T,a  Provide an interpretation for the partial derivatives in parts a) and b).

Physical Chemistry
Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter1: Gases And The Zeroth Law Of Thermodynamics
Section: Chapter Questions
Problem 1.51E: Numerically evaluate for one mole of methane acting as a van der Waals gas at a T = 298 K and V =...
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What are the following partial derivatives for the van der Waals equation of state? The number of moles is constant so let’s use the molar volume form of the equation:

What are the following partial derivatives for the van der Waals equation of state? The number of moles is constant so let’s use the molar volume form of the equation:

                                        (P+a/V2) (V-b) = RT

a) (∂P/∂a)V,T,b    

b) (∂P/∂b)V,T,a

 Provide an interpretation for the partial derivatives in parts a) and b).

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