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Saitama
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Homework Statement
An ideal gas has a molar heat capacity ##C_V## at constant volume. Find the molar heat capacity of this gas as a function of its volume ##V##, if the gas undergoes the following process: ##T=T_0e^{\alpha V}## here ##T_0## and ##\alpha## are constants.
Homework Equations
The Attempt at a Solution
Work done by gas: ##\displaystyle W=\int PdV##
From ideal gas equation: ##PV=nRT=nRT_0e^{\alpha V}##. Hence
[tex]W=\int_{V_1}^{V_2} \frac{nRT_0 e^{\alpha V}}{V}dV[/tex]
But I cannot integrate this.
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