Problem 1 A monoatomic ideal gas is initially at pressure pi and volume Vi. The gas may be taken to a new state where p2 = 3p, and V2 = 3V, in two different ways: (i) Isobaric expansion to 3V, followed by a constant volume process. (ii) On a straight line when plotted on a p - V diagram. Do the following: 1) Show the two cases on a p - V diagram. 2) Compare the work done by the gas in the two cases. 3) Compare the heat absorbed in the two cases. 4) Compare the change in entropy in the two cases. Problem 2 Consider a system of NV non-interacting particles with 3 energy levels for each particle. Let the 3 energy levels be 0, 61, and c2 with 0