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 3.29NP
Interpretation Introduction

Interpretation:

For equation of state Vm= RT/B + B(T), it is to be shown that:

  ( C P,m P)T=Td2B(T)dT2

Concept Introduction :

Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 10C.

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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
(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.

Chapter 3 Solutions

Thermodynamics, Statistical Thermodynamics, & Kinetics

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