Figure P8.82 shows a cogeneration cycle that provides

Chapter 8, Problem 8.82

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Figure P8.82 shows a cogeneration cycle that provides power and process heat. In the steam cycle, superheated vapor enters the turbine at 40 bar, \(440^{\circ} \mathrm{C}\) and expands isentropically to 1 bar. The steam passes through a heat exchanger, which serves as a boiler of the Refrigerant 134a cycle and the condenser of the steam cycle. The condensate leaves the heat exchanger as saturated liquid at 1 bar and is pumped isentropically to the steam generator pressure. The rate of heat transfer to the working fluid passing through the steam generator of the steam cycle is 13 MW. The Refrigerant 134a cycle is an ideal Rankine cycle with refrigerant entering the turbine at 16 bar, \(100^{\circ} \mathrm{C}\). The refrigerant passes through a heat exchanger, which provides process heat and acts as a condenser for the Refrigerant 134a cycle. Saturated liquid exits the heat exchanger at 9 bar. Determine

(a) the mass flow rate of steam entering the steam turbine, in kg/s.

(b) the mass flow rate of Refrigerant 134a entering the refrigerant turbine, in kg/s.

(c) the percent of total power provided by each cycle.

(d) the rate of heat transfer provided as process heat, in kW.

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