Consider the following two virial equations of state.  Z = 1 + 2B’ p + 3 C’ p2 + D’ p3 + E’ p4 + ….. Z = 1 + 4B (1/Vm) + 5C (1/Vm)2 + D (1/Vm)3 + E (1/Vm)4+ …. where B’, B, C’, C, D’, D, E’ and E, etc, are virial coefficients; p is the pressure and Vm is the molar volume. (a) Find the relation between B and B’. (b) Determine the ratio B’/B at T = 420 K from your expression including the appropriate units in your answer.

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 1.74E
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Consider the following two virial equations of state. 

Z = 1 + 2B’ p + 3 C’ p2 + D’ p3 + E’ p4 + …..

Z = 1 + 4B (1/Vm) + 5C (1/Vm)2 + D (1/Vm)3 + E (1/Vm)4+ ….

where B’, B, C’, C, D’, D, E’ and E, etc, are virial coefficients; p is the pressure and Vm is the molar volume.

(a) Find the relation between B and B’.

(b) Determine the ratio B’/B at T = 420 K from your expression including the appropriate units in your answer.

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