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Q. One mole of an ideal gas at $300\, K$ is expanded Isothermally from an initial volume of $1\, L$ to $10\, L$. The $\Delta E$ for this process is $\left(R=2\right.$ cal mol $\left.^{-1} K^{-1}\right)$

AIPMTAIPMT 1998Thermodynamics

Solution:

For a finite change $\Delta E=C_v \Delta T$. For an isothermal process $\Delta T=0$. Hence, $\Delta E=0$.