Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Question
Demonstrate that the function P
= Pp (T,V) = c1-+;c,T² has the appropriate total differential.
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Transcribed Image Text:Demonstrate that the function P = Pp (T,V) = c1-+;c,T² has the appropriate total differential.
Consider a particular gas. The isothermal compressibility and coefficient of thermal expansion are given by:
V
K =
CT
a ==+2V, where c, and c2 are numerical constants.
T
C1
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Transcribed Image Text:Consider a particular gas. The isothermal compressibility and coefficient of thermal expansion are given by: V K = CT a ==+2V, where c, and c2 are numerical constants. T C1
Expert Solution
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Step 1

if we calculate total differential of P as a function of Temperature and Volume with respect to isothermal compressibility factor and co-efficient of thermal expansion, then the value comes out to be 

                      c1T+c1T/V + c2T2/2

if we neglect c1T, then the given expression comes out. But we can not neglect it without any external condition. The complete solution is given in the next step. 

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