Step 1: Internal energy of ideal gas.
U depends solely on temperature; constant U implies constant T.
Step 2: Identifying the process.
An isothermal process maintains constant temperature.
Step 3: Contrasting with other processes.
Isobaric, isochoric, and adiabatic processes all involve temperature changes.
Step 4: Conclusion.
Therefore, internal energy remains unchanged during an isothermal process.