?A compressor operates adiabatically with air entering at \(T_{1}\) and \(P_{1}\) with a

Chapter 7, Problem 7.32

(choose chapter or problem)

A compressor operates adiabatically with air entering at \(T_{1}\) and \(P_{1}\) with a molar flow rate \(\dot n\) . The discharge pressure is \(P_{2}\) 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) \(T_{1} = 25°C, \quad P_{1} = 101.33 kPa, \dot n = 100 mol \cdot s^{−1}, \quad P_{2} = 375 kPa, η = 0.75\).

(b) \(T_{1} = 80°C, \quad P_{1} = 375 kPa, \quad \dot n = 100 mol \cdot s^{−1}, \quad P_{2} = 1000 kPa, \quad η = 0.70\).

(c) \(T_{1} = 30°C, \quad P_{1} = 100 kPa, \quad \dot n = 150 mol \cdot s^{−1}, \quad P_{2} = 500 kPa, \quad η = 0.80\).

(d) \(T_{1} = 100°C, \quad P_{1} = 500 kPa, \quad \dot n = 50 mol \cdot s^{−1}, \quad P_{2} = 1300 kPa, η = 0.75\).

(e) \(T_{1} = 80(°F), \quad P_{1} = 14.7 (psia), \quad \dot n = 0.5 (lb mol)(s)^{−1}, \quad P_{2} = 55 (psia), \quad η = 0.75\).

(f) \(T_{1} = 150(°F), \quad P_{1} = 55 (psia), \quad \dot n = 0.5 (lb mol)(s)^{−1}, \quad P_{2} = 135 (psia), \quad η = 0.70\).

Text Transcription:

T_1

P_1

dot n

P_2

T_1 = 25°C, P1 = 101.33 kPa, dot n  = 100 mol cdot s^−1, P_2 = 375 kPa, η = 0.75

T_1 = 80°C, P1 = 375 kPa, dot n  = 100 mol cdot s^−1, P_2 = 1000 kPa, η = 0.70

T_1 = 30°C, P1 = 100 kPa, dot n = 150 mol cdot s^−1, P_2 = 500 kPa, η = 0.80

T_1 = 100°C, P1 = 500 kPa, dot n = 50 mol cdot s^−1, P_2 = 1300 kPa, η = 0.75

T_1 = 80(°F), P1 = 14.7 (psia), dot n  = 0.5 (lb mol)(s)^−1, P_2 = 55 (psia), η = 0.75

T_1 = 150(°F), P1 = 55 (psia), dot n = 0.5 (lb mol)(s)^−1, P_2 = 135 (psia), η = 0.70