P3.10 Derive the following expression for calculating the isothermal change in the constant volume heat capacity: (aCv/av)T = T(0²P/ƏT²)v.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter2: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 2.38E
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P3.10 Derive the following expression for calculating the
isothermal change in the constant volume heat capacity:
(aCv/av)T = T(0²P/ƏT²)v.
Transcribed Image Text:P3.10 Derive the following expression for calculating the isothermal change in the constant volume heat capacity: (aCv/av)T = T(0²P/ƏT²)v.
Expert Solution
Step 1

An isothermal process occurs in systems that have some means of regulating the temperature. This process occurs in systems ranging from highly structured machines to living cells. A few examples of an isothermal process are given below.

  • Changes in state or phase changes of different liquids through the process of melting and evaporation are examples of the isothermal process.
  • One of the examples of the industrial application of the isothermal process is the Carnot engine. In this engine, some parts of the cycles are carried out isothermally.

 

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