An ideal gas initially at 600k and 10 bar undergoes a four-step mechanically reversible cycle in a closed system. In step 12, pressure decreases isothermally to 3 bar; in step 23, pressure decreases at contstant volume to 2 bar; in step 34, volume decreases at constant pressure; and in step 41, the gas returns adiabatically to its initial state. Take Cp = (7/2)R and Cv = (5/2)R.

(a) Sketch the cycle on a PV diagram.
(b) Determine (where unknown) both T and P for states 1, 2, 3, and 4.
(c) Calculate Q, W, DeltaU, and DeltaH for each step of the cycle.