Find thermal capacity of a Van der Waals gas

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Homework Help Overview

The discussion revolves around finding the thermal capacities, ##C_P## and ##C_V##, of a Van der Waals gas. Participants explore the applicability of equations from their textbooks and the limitations posed by the available information regarding the internal energy and entropy of the gas.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the use of equations related to heat capacities and question whether they can be applied to a Van der Waals gas. There are attempts to relate internal energy to heat capacities, and some participants express uncertainty about the sufficiency of the given equations.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on the relationships between internal energy, heat capacities, and the limitations of the equations provided. Some guidance has been offered regarding the independence of ##C_V## from volume, but there is no explicit consensus on how to proceed with the calculations.

Contextual Notes

Participants note the lack of specific information about the internal energy and entropy of the Van der Waals gas, which is seen as a barrier to calculating the thermal capacities. There is mention of the professor's indication that the problem is challenging, and some participants seek additional sources for information.

  • #31
MatinSAR said:
So for showing that ##[\frac {\partial C_V} {\partial V}]_T=0## I can use the link you've sahred ...
So do you see any other problem in my final answer?
Your argument goes like this:
  1. Assume (or prove) that ##C_V## does not depend on the volume
  2. Use the equation of state to derive the rhs of Mayer's relation
  3. Assume ##C_V=\frac32nR##
  4. Insert (3) in Mayer's relation
However step 1 was not needed.
 
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  • #32
pines-demon said:
Your argument goes like this:
  1. Assume (or prove) that ##C_V## does not depend on the volume
  2. Use the equation of state to derive the rhs of Mayer's relation
  3. Assume ##C_V=\frac32nR##
  4. Insert (3) in Mayer's relation
However step 1 was not needed.
Thanks again for your time @pines-demon ...
 
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