Estimate the power requirement of the compressor and the temperature of the discharge stream

A compressor operates adiabatically with air entering at T1 and P1 with a molar

flow rate n

∙

. The discharge pressure is P2 and the compressor efficiency is η. Estimate

the power requirement of the compressor and the temperature of the discharge stream

for one of the following sets of operating conditions.

(a) T1 = 25°C, P1 = 101.33 kPa, n

∙

= 100 mol⋅s−1, P2 = 375 kPa, η = 0.75.

(b) T1 = 80°C, P1 = 375 kPa, n

∙

= 100 mol⋅s−1, P2 = 1000 kPa, η = 0.70.

(c) T1 = 30°C, P1 = 100 kPa, n

∙

= 150 mol⋅s−1, P2 = 500 kPa, η = 0.80.

(d) T1 = 100°C, P1 = 500 kPa, n

∙

= 50 mol⋅s−1, P2 = 1300 kPa, η = 0.75.

(e) T1 = 80(°F), P1 = 14.7 (psia), n

∙

= 0.5 (lb mol)(s)−1, P2 = 55 (psia), η = 0.75.

(f) T1 = 150(°F), P1 = 55 (psia), n

∙

= 0.5 (lb mol)(s)−1, P2 = 135 (psia), η = 0.70.