In which process, there is no change in the internal energy of the system?
In thermodynamics, the internal energy of a system is the energy contained within the system, excluding the kinetic energy of motion of the system as a whole and the potential energy of the system as a whole due to external force fields. It keeps account of the gains and losses of energy of the system that are due to changes in its internal state.
In case of isothermal, free expansion and cyclic process there is no change in the internal energy of the system as system's temperature remains constant in these processes. As internal energy is a function of temperature, there is no change in the internal energy of the system.