5 L of air at 122 kPa and 20 oC was compressed by an air compressor applying 185 kJ/kg flow work increasing the pressure to 1,076 kPa. Calculate the final temperature in oC

The final temperature is 37.26 °C

Explanation:

Assuming the thermodynamic process is an adiabatic compression process.

T2 = T1 (P2/P1) ^k-1/k

T2 is the final temperature of air

T1 is the initial temperature of air = 20 °C

P1 is the initial pressure of air = 122 kPa

P2 is the final pressure of air = 1,076 kPa

k represents gamma = 1.4

T2 = 20 (1,076/122) ^1.4-1/1.4 = 20 (8.8197) ^0.4/1.4 = 20 (8.8197) ^0.2857 = 20 (1.863) = 37.26 °C