5. (15 pts) During actual expansion and compression processes of gases, pressure and volume are often related by PV" = C (where n and C are constants. Such processes are called Polytropic Processes.) In a certain system under study, air goes through such a polytropic process where the temperatures and pressures change from 325 K and 125 kPa to 500 K and 300 kPa respectively. Find the polytropic exponent n and the mass specific work in the process.

Fig: 1