Question

An adiabatic steady-flow pumping device shown in the sketch below employs a high pressure, high temperature stream of gas at port 1 to pump a lower temperature stream of gas from a low pressure at port 2 to a higher pressure at port 3. All of the gas leaves the device at port 3 at the temperature T3. If the gas can be modeled as an ideal gas with R = 2077 J/kg K and cP = 5234 J/kg K, determine the maximum value of the ratio ṁ2/ṁ1. Prove that this result is indeed a maximum.

0-0 shaft Port 1 P.-7x10, N/m T,-400 K Port3 P,-10 N/m mi my Port 2 P-1.4 x 10N/m2 T2-300 K m2

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Answer #1

Given w: o, d-。 ,R-a.to5N4 , e- We have ma balance 1 3Ase Proces is ad bat 4o0 3 = 347.801 k Frem e7:@ w.,.. 1092 r)

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