Determine $\Delta U$ for the process where, one mole of an ideal gas at $300 ext{ K}$ is expanded isothermal

Question

Determine $\Delta U$ for the process where, one mole of an ideal gas at $300 	ext{ K}$ is expanded isothermally from $1 	ext{ L}$ to $10 	ext{ L}$ volume: (Use $R = 8.314 	ext{ J K}^{-1} 	ext{ mol}^{-1}$)

Accepted Answer

For an ideal gas, the internal energy is a function of absolute temperature only. In an isothermal process, the temperature remains constant ($\Delta T = 0$). Therefore, the change in internal energy ($\Delta U$) is also zero .

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