A cylinder with a movable piston contains a gas. Initially the gas temperature is 25 C. A two stage process happens. In stage 1, the cylinder is placed in boiling water. With the piston held fixed, 2,000 calories of heat transfer from the boiling water to the gas raising it to 100 C. In stage 2, the piston is allowed to move. The piston rises to a new position doing 100 J of work on its surroundings and again equilibrates at 100 C. Calculate DU for stage 1 and Q for stage 2.