1. Air (an ideal gas) in a piston-cylinder assembly undergoes two internally reversible processes from State 1, where T1 = 500 K, and P1 = 2 bar. In Process 1-2, air is compressed to P2 = 20 bar during a process which follows PV1.7 = constant. In Process 2-3, isentropic expansion of the air occurs to P3 = 1 bar. Assume that cp = 1.004 kJ/kg.K, R = 0.287 kJ/kg.K, and k = cp/cv = 1.4.

(a) Determine the temperature at State 2 (T2) in K

(b) Determine the temperature at State 3 (T3) in K

(c) Determine the net specific work transfer from State 1 to State 3 in kJ/kg.

(d) Sketch the two processes in a T-s diagram, clearly labeling all states and processes and isobars