A system undergoes a constant pressure process \(1-2\), during which \(100 \mathrm{~kJ}\) of work done on the system and \(50 \mathrm{~kJ}\) of heat as energy is released to the surroundings. Then the system follows a constant volume process \(2-3\) during which \(80 \mathrm{~kJ}\) of heat is added to the system. Then the system returns to its initial state along the path \(3-1\) by an adiabatic process. Calculate the change in internal energy during each process and the work done during the adiabatic process.