Physical Chemistry
Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 4, Problem 4.37E
Interpretation Introduction

Interpretation:

The relation (S/p)T=αV is to be derived.

Concept introduction:

The Maxwell relations are the equations showing the relation between the thermodynamic properties. These relations are obtained due to the thermodynamic functions being the exact differentials. These relations show the dependency of the different thermodynamic properties on each other. The expansion coefficient is defined as the fraction change in volume with respect to the change in temperature. Therefore, it defines the change in size on changing temperature. It is represented by the formula given below.

α=1V(VT)p

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Students have asked these similar questions
(a) Express (∂Cp/∂P)T as a second derivative of H and find its relation to (∂H/∂P)T. (b) From the relationships found in (a), show that (∂Cp/∂V)T=0 for a perfect gas.
Calculate V−1(∂V/∂T)p,n for an ideal gas?
Since we will be dealing with partial derivatives later in the semester, this is a good opportunity to review this topic (see appendix C). Then evaluate the following partial derivatives (a) PV = nRT;        (∂ P/∂V)T (b) r = (x2 + y2 + z 2 )1/2;   (∂ r/∂y)x,z

Chapter 4 Solutions

Physical Chemistry

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