Thermodynamics, Statistical Thermodynamics, & Kinetics
Thermodynamics, Statistical Thermodynamics, & Kinetics
3rd Edition
ISBN: 9780321766182
Author: Thomas Engel, Philip Reid
Publisher: Prentice Hall
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Chapter 3, Problem 3.33NP
Interpretation Introduction

Interpretation:

Using the chain rule for differentiation, it is to be shown that isobaric expansion coefficient expressed in terms of density is given by β=1/ρ(P/T)P .

Concept Introduction :

The isobaric expansion coefficient, β is explained by the below equation:

  β=1V( V T)P

Here,

V = volume

T = temperature

P = pressure

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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 the work done during the isothermal reversible expansion of a gas that satisfies the virial equation of state (eqn 1C.3b) written with the first three terms. Evaluate (a) the work for 1.0 mol Ar at 273 K (for data, see Table 1C.3) and (b) the same amount of a perfect gas. Let the expansion be from 500 cm3 to 1000 cm3 in each case.
Cp− ̄Cv=T ̄V β^2/κ reduces to ̄CP− ̄CV=R for an ideal gas.

Chapter 3 Solutions

Thermodynamics, Statistical Thermodynamics, & Kinetics

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