One mole of an ideal gas at $300 ext{ K}$ is expanded isothermally from an initial volume of $1 ext{ litre}$

Question

One mole of an ideal gas at $300	ext{ K}$ is expanded isothermally from an initial volume of $1	ext{ litre}$ to $10	ext{ litres}$. The $\Delta E$ for this process is: ($R = 2	ext{ cal mol}^{-1}	ext{K}^{-1}$)

Accepted Answer

For an ideal gas, the internal energy ($E$ or $U$) is a state function that depends exclusively on temperature. In an isothermal process, the temperature of the system remains constant ($\Delta T = 0$). Therefore, the change in internal energy ($\Delta E$ or $\Delta U$) is zero , irrespective of the volume change.

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