?A turbine operates adiabatically with superheated steam entering at \(T_{1}\) and

Chapter 7, Problem 7.16

(choose chapter or problem)

A turbine operates adiabatically with superheated steam entering at \(T_{1}\) and \(P_{1}\) with a mass flow rate \(\dot m\) . The exhaust pressure is \(P_{2}\) and the turbine efficiency is η. For one of the following sets of operating conditions, determine the power output of the turbine and the enthalpy and entropy of the exhaust steam.

(a) \(T_{1} = 450°C, \quad P_{1} = 8000 kPa, \quad \dot m = 80 kg \cdot s^{−1}, \quad P_{2} = 30 kPa, \quad η = 0.80\).

(b) \(T_{1} = 550°C, \quad P_{1} = 9000 kPa, \quad \dot m∙ = 90 kg \cdot s^{−1}, \quad P_{2} = 20 kPa, \quad η = 0.77\).

(c) \(T_{1} = 600°C, \quad P_{1} = 8600 kPa, \quad \dot m∙ = 70 kg \cdot s^{−1}, \quad P_{2} = 10 kPa, \quad η = 0.82\).

(d) \(T_{1} = 400°C, \quad P_{1} = 7000 kPa, \quad \dot m = 65 kg \cdot s^{−1}, \quad P_{2} = 50 kPa, \quad η = 0.75\).

(e) \(T_{1} = 200°C, \quad P_{1} = 1400 kPa, \quad \dot m  = 50 kg \cdot s^{−1}, \quad P_{2} = 200 kPa, \quad η = 0.75\).

(f) \(T_{1} = 900(°F), \quad P_{1} = 1100 (psia), \quad \dot m = 150(lbm)(s)^{−1}, \quad  P_{2} = 2(psia), \quad η = 0.80\).

(g) \(T_{1} = 800(°F), \quad P_{1} = 1000 (psia), \quad \dot m = 100(lbm)(s)^{−1}, \quad P_{2} = 4(psia), \quad η = 0.75\).

Text Transcription:

T_1 = 450°C, P_1 = 8000 kPa, m ∙ = 80 kg⋅s^−1, P_2 = 30 kPa, η = 0.80

T_1 = 550°C, P_1 = 9000 kPa, m ∙ = 90 kg⋅s^−1, P_2 = 20 kPa, η = 0.77

T_1 = 600°C, P_1 = 8600 kPa, m ∙ = 70 kg⋅s^−1, P_2 = 10 kPa, η = 0.82

T_1 = 400°C, P_1 = 7000 kPa, m ∙ = 65 kg⋅s^−1, P_2 = 50 kPa, η = 0.75

T_1 = 200°C, P_1 = 1400 kPa, m ∙ = 50 kg⋅s^−1, P_2 = 200 kPa, η = 0.75

T_1 = 900(°F), P_1 = 1100 (psia), m ∙ = 150(lbm)(s)^−1, P_2 = 2(psia), η = 0.80

T_1 = 800(°F), P_1 = 1000 (psia), m ∙ = 100(lbm)(s)^−1, P_2 = 4(psia), η = 0.75