?Air at 1(atm) and 35°C is compressed in a staged reciprocating compressor (with

Chapter 7, Problem 7.39

(choose chapter or problem)

Air at 1(atm) and 35°C is compressed in a staged reciprocating compressor (with intercooling) to a final pressure of 50(atm). For each stage, the inlet gas temperature is 35°C and the maximum allowable outlet temperature is 200°C. Mechanical power is the same for all stages, and isentropic efficiency is 65% for each stage. The volumetric flow rate of air is \(0.5 m^{3} \cdot s^{−1}\) at the inlet to the first stage.

(a) How many stages are required?

(b) What is the mechanical-power requirement per stage?

(c) What is the heat duty for each intercooler?

(d) Water is the coolant for the intercoolers. It enters at 25°C and leaves at 45°C.

What is the cooling-water rate per intercooler?

Assume air is an ideal gas with \(C_{P} = (7/2)R\).

Text Transcription:

0.5 m^3 cdot s^−1

C_P = (7/2)R

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