For the system shown in the diagram, determine:

a$)$The compressor power requirement $($kW$).$b$)$The isentropic efficiency of the compressor.

c$)$The cooling water mass flow rate $($kg$/$s$).$d$)$The rate of entropy production for the compressor $($kW$/$K$).$

e$)$The rate of entropy production for the heat exchanger $($kW$/$K$).$