?A small adiabatic air compressor is used to pump air into a \(20-m^{3}\) insulated

Chapter 7, Problem 7.3

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A small adiabatic air compressor is used to pump air into a \(20-m^{3}\) insulated tank. The tank initially contains air at 25°C and 101.33 kPa, exactly the conditions at which air enters the compressor. The pumping process continues until the pressure in the tank reaches 1000 kPa. If the process is adiabatic and if compression is isentropic, what is the shaft work of the compressor? Assume air to be an ideal gas for which \(C_{P} = (7/2)R\) and \(C_{V} = (5/2)R\).

Text Transcription:

20-m^3

C_P = (7/2)R

C_V = (5/2)R

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