For an ideal gas with constant specific heats show that

Chapter 7, Problem 220P

(choose chapter or problem)

For an ideal gas with constant specific heats show that the compressor and turbine isentropic efficiencies may be written as

\(\eta_{C}=\frac{\left(P_{2} / P_{1}\right)^{(k-1) / k}}{\left(T_{2} / T_{1}\right)-1} \text { and } \eta_{T}=\frac{\left(T_{4} / T_{3}\right)-1}{\left(P_{4} / P_{3}\right)^{(k-1) / k}-1}\)

The states 1 and 2 represent the compressor inlet and exit states and the states 3 and 4 represent the turbine inlet and exit states.

Equation Transcription:

Text Transcription:

\eta C=(P2/P1)(k - 1)/k over (T2/T1)-1 and  \eta T=(T4/T3)-1 over (P4/P3)(k - 1)/k-1

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