Water is the working fluid in a Rankine cycle modified to

Chapter 8, Problem 8.67

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Water is the working fluid in a Rankine cycle modified to include one closed feedwater heater and one open feedwater heater. Superheated vapor enters the turbine at 16 MPa, 560\(^{\circ}\)C, and the condenser pressure is 8 kPa. The mass flow rate of steam entering the first-stage turbine is 120 kg/s. The closed feedwater heater uses extracted steam at 4 MPa, and the open feedwater heater uses extracted steam at 0.3 MPa. Saturated liquid condensate drains from the closed feedwater heater at 4 MPa and is trapped into the open feedwater heater. The feedwater leaves the closed heater at 16 MPa and a temperature equal to the saturation temperature at 4 MPa. Saturated liquid leaves the open heater at 0.3 MPa. Assume all turbine stages and pumps operate isentropically. Determine

(a) the net power developed, in kW.

(b) the rate of heat transfer to the steam passing through the steam generator, in kW.

(c) the thermal efficiency.

(d) the mass flow rate of condenser cooling water, in kg/s, if the cooling water undergoes a temperature increase of 188C with negligible pressure change in passing through the condenser.

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