?The efficiency of a particular series of adiabatic gas turbines (expanders) correlates

Chapter 7, Problem 7.23

(choose chapter or problem)

The efficiency of a particular series of adiabatic gas turbines (expanders) correlates with power output according to the empirical expression: η = 0.065 + 0.080 ln \(∣ \dot W∣\).Here, \(∣ \dot W∣\) is the absolute value of the actual power output in kW. Nitrogen gas is to be expanded from inlet conditions of 550 K and 6 bar to an outlet pressure of 1.2 bar. For a molar flow rate of \(175 mol \cdot s^{−1}\), what is the delivered power in kW? What is the efficiency of the turbine? What is the rate of entropy generation \(\dot S_{G}\)? Assume nitrogen to be an ideal gas with \(C_{P} = (7/2)R\).

Text Transcription:

∣ dot W∣

175 mol cdot s^−1

dot S_G

C_P = (7/2)R