1. (56 pts) One mole of ideal gas, Cv=(5/2)R, undergoes a cycle consisting of the following mechanically reversible steps: (a) An isobaric process from P1, V1, T1 to P2, V2=2 V1, T2 (b) An isothermal expansion from P2, V2, T2 to P3= 0.5 P2, V3, T3 (c) An isochoric process from P3, V3, T3 to P4, V4, T4 (d) An isothermal compression from P4, V4, T4 to P1, V1, T1 If V1= 10 L, P = 2 bar: 1. Sketch this cycle on a PV diagram (8 pts), and label process directions and states 1,2,3 and 4 (4 pts). 2. Find P,V,Ts for all four states. (12 pts) 3. Find the Q, W, AU, and AH for all four steps. (32 pts)