One mole of an ideal gas at $300 \mathrm{~K}$ is expanded isothermally from $1 \mathrm{~L}$ to $10…
One mole of an ideal gas at $300 \mathrm{~K}$ is expanded isothermally from $1 \mathrm{~L}$ to $10 \mathrm{~L}$ volume. $\Delta \mathrm{U}$ for this process is
(Use $\mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ )
$1260 \mathrm{~J}$
$2520 \mathrm{~J}$
$5040 \mathrm{~J}$
$0 \mathrm{~J}$
Solution
In an isothermal expansion or compression process, the temperature of system remains constant throughout the process. Since, for an ideal gas, $\mathrm{U}$ depends only on temperature, it follows that the value of \(\Delta U\) is zero, during isothermal expansion of gas.