2. 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 VP3 1 + C4 VP2 With C1 Рa-m3 C2 = Pa2-m3 = 2.0 Ра-m3 ,and c4 K2 Pa2-m3 = 1.0 = 0.5 , C3 = 1.0 K2 K K 2a. 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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Chapter1: Chemical Foundations
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2. 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
VP3
1
+ C4
VP2
Pa-m3
C2 = 2.0
Pa2-m3
, C3
Pa-m3
1.0
Pa2-m3
With c, = 0.5
K2
and c4 = 1.0
K
K
K2
2a. Determine an exact differential for dV using these two equations. Demonstrate that
this exact differential does indeed satisfy the Maxwell relations.
Transcribed Image Text:2. 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 VP3 1 + C4 VP2 Pa-m3 C2 = 2.0 Pa2-m3 , C3 Pa-m3 1.0 Pa2-m3 With c, = 0.5 K2 and c4 = 1.0 K K K2 2a. 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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