Consider a particular substance. The isothermal compressibility and coefficient of thermal expansion are given by: T2 K = C1 VP2 T a = C3 VP T + C2 V 3 1 + C4 VP2 Pa2-m3 1.0 Pa2.m3 Рa-m3 , С2 — 2.0 Ра-m3 With C1 = 0.5 K2 = 1.0 and c4 K² K K - Determine an exact differential for dV using these two equations. Demonstrate that this exact differential does indeed satisfy the Maxwell relations.

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter10: Thermal Physics
Section: Chapter Questions
Problem 53AP
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Consider a particular substance. The isothermal compressibility and coefficient of
thermal expansion are given by:
T2
K = C1
VP2
T
a = C3
VP
T
+ C2
V 3
1
+ C4
VP2
Pa2-m3
1.0
Pa2.m3
Рa-m3
, С2 — 2.0
Ра-m3
With C1
= 0.5
K2
= 1.0
and c4
K²
K
K
- Determine an exact differential for dV using these two equations. Demonstrate that
this exact differential does indeed satisfy the Maxwell relations.
Transcribed Image Text:Consider a particular substance. The isothermal compressibility and coefficient of thermal expansion are given by: T2 K = C1 VP2 T a = C3 VP T + C2 V 3 1 + C4 VP2 Pa2-m3 1.0 Pa2.m3 Рa-m3 , С2 — 2.0 Ра-m3 With C1 = 0.5 K2 = 1.0 and c4 K² K K - Determine an exact differential for dV using these two equations. Demonstrate that this exact differential does indeed satisfy the Maxwell relations.
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