# Determining the Exit Temperature and Power Input of Air through a Compressor

Air at 150Pa and 310K enters a compressor of inlet diameter 2cm. The Compressor raises the pressure to 3.5 times the inlet pressure and has an outlet diameter of 5cm. Determine the exit temperature and power input required, if the mass flow rate of air is 100kg/hr.

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#### Solution Preview

Final Temp T2

We know that

T1 / T2 = (P2/P1)^(K-1)/K

Where k = 1.4 for air as adiabatic process.

T2= (310)/ (3.5P1/P1)^(1.4-1)/1.4

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#### Solution Summary

This solution explains how to determine th eexit temperature and power input of air through a compressor using the properties of Ideal Gases.

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