For an ideal gas, the isothermal free expansion and adiabatic free expansion are basically the same processes- explain.

Explanation

According to the first law of thermodynamics, `DeltaU=q+w`. In free expansion of a gas, w=0. again, in an adiabatic process, q=0
Hence, in an adiabatic free expansion of an ideal gas, the change in internal energy `DeltaU=0+0=0`. Also, in an isothermal process, the change in internal energy of an ideal gas is zero. again for free expansion of an ideal gas, w=0. so, in an isothermal free expansion of an ideal gas, `DeltaU=q+w or, 0=q+0 or q=0`. therefore, it can be concluded that both processes are basically the same.