The molar enthalpy of vaporization of water at 1 bar and $100^\circ$C is 41 kJ mol$^{-1}$. What is the internal energy change when 1 mol of water is vaporized at 1 bar pressure and $100^\circ$C? Assume water vapor as a perfect gas. (R = 8.3 J K$^{-1}$ mol$^{-1}$)