Two moles of an ideal monatomic gas have an initial pressure P 1 = 2 atm and

Question:

Two moles of an ideal monatomic gas have an initial pressure P₁ = 2 atm and an initial volume V₁ = 2 L. The gas is taken through the following quasi-static cycle: It is expanded isothermally until it has a volume V₂ = 4 L. It is then heated at constant volume until it has a pressure P₃ = 2 atm. It is then cooled at constant pressure until it is back to its initial state.

(a) Show this cycle on a PV diagram.

(b) Calculate the heat added and the work done by the gas during each part of the cycle.