Thermo question (Compressor w/ cooling fluid)

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mxpxer7
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I attached the HW assignment. Its question number 2.

I choose a control volume including the cooling stream from the lake and the fluid being condensed. I assumed with this CV that the heat generated was 0 and that the net Work was 0.

Using these assumptions I solved for the mass flow rate and I got a number that seemed totally unreasonable... M= 4484.5 Kg/s .. Anyone have any suggestions?

is it okay to assume the net work is 0?
 

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All of your assumptions seem correct and I got very close to the same answer that you did. A high mass flow rate in the cooling fluid is to be expected to cause such a tremendous energy change in a high speed mass flow rate of an almost completely saturated vapor.