Energy Analysis of Control Volumes at Steady StateAir is

Chapter 4, Problem 62P

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QUESTION:

Air is compressed at steady state from \(1 \mathrm{bar}, 300 \mathrm{~K}\), to \(6 \mathrm{bar}\) with a mass flow rate of \(4 \mathrm{~kg} / \mathrm{s}\). Each unit of mass passing from inlet to exit undergoes a process described by \(p v^{1.27}=\) constant. Heat transfer occurs at a rate of \(46.95 \mathrm{~kJ}\) per kg of air flowing to cooling water circulating in a water jacket enclosing the compressor. If kinetic and potential energy changes of the air from inlet to exit are negligible, determine the compressor power, in kW.

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QUESTION:

Air is compressed at steady state from \(1 \mathrm{bar}, 300 \mathrm{~K}\), to \(6 \mathrm{bar}\) with a mass flow rate of \(4 \mathrm{~kg} / \mathrm{s}\). Each unit of mass passing from inlet to exit undergoes a process described by \(p v^{1.27}=\) constant. Heat transfer occurs at a rate of \(46.95 \mathrm{~kJ}\) per kg of air flowing to cooling water circulating in a water jacket enclosing the compressor. If kinetic and potential energy changes of the air from inlet to exit are negligible, determine the compressor power, in kW.

ANSWER:

Step 1 of 2

We have to calculate the compressor power.

Given

bar

bar

 K

kg/s

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