(Solved): The figure below shows a vapor power cycle that provides process heat and produces power. The steam ...

The figure below shows a vapor power cycle that provides process heat and produces power. The steam generator produces vapor at $$500\mathrm{lbf}/{\mathrm{in}}^2,800^{?}\mathrm{F}$$, at a rate of $$4.4\times 10^5\mathrm{lb}/\mathrm{h}$$. Eighty-eight percent of the steam expands through the turbine to $$10\mathrm{lbf}/\mathrm{in}{}^2$$ and the remainder is directed to the heat exchanger. Saturated liquid exits the heat exchanger at $$500\mathrm{lbf}/\mathrm{in}{}^2$$ and passes through a trap before entering the condenser at $$10\mathrm{lbf}/{\mathrm{in}}^2$$ Saturated liquid exits the condenser at $$10\mathrm{lbf}/{\mathrm{in}}^2$$ and is pumped to $$500\mathrm{lbf}/{\mathrm{in}}^2$$ before entering the steam generator. The turbine and pump have isentropic efficiencies of $$85\%$$ and $$89\%$$, respectively. For the process heat exchanger, assume the temperature at which heat transfer occurs is $$465^{?}\mathrm{F}$$. Let $$T_0=60^{?}\mathrm{F},p_0=14.7\mathrm{Ibf}/\mathrm{in}{}^2$$ Determine: (a) the magnitude of the process heat production rate, in Btu/h. (b) the magnitude of the rate of exergy output, in Btu/h, as net work. (c) the rate of exergy transfer, in Btu/h, to the working fluid passing through the steam generator. (d) the magnitude of the rate of exergy output. in Btu/h. with the process heat. (e) the magnitude of the rate of exergy loss, in Btu/h, from the working fluid passing through the condenser. (f) the sum of the rate of exergy destrution, in Btu/h, in the turbine, process heat exchager, trap. and pump.