Question

16. [20 Marks] A steam power plant that operates on the ideal regenerative Rankine cycle with an open feedwater heater (fwh) is shown in the Figure below. Steam enters the turbine at 8 MPa and a temperature of 600 $^\circ$C (Stream 5). Part of the steam (at a mass flow rate of 5 kg/s) is extracted from the turbine at 1 MPa and is sent to the open feedwater heater (Stream 6). The remaining steam leaves the turbine as a saturated mixture at 20 kPa (Stream 7). Assume that the pumps and turbine are reversible and adiabatic, and that there are no pressure drops in the boiler, condenser and open feedwater heater. Assume that saturated liquid leaves the condenser and open feedwater heater. Assume steady flow, negligible kinetic and potential energies. Given that $h_6 = 2995.46$ kJ/kg (a) Determine the net power input to pump 1, and pump 2, in kW. (b) Determine the rate of heat input to the boiler, in kW. (c) Determine the quality of the steam leaving the turbine at Stream 7. (d) Determine the power output of the turbine, in kW. (e) Determine the thermal efficiency of the cycle. (f) Show the process on a well labeled T-s diagram. (You do not need to show numerical values, but Streams 1 to 7 must be clearly shown relative to the saturation lines)

          16. [20 Marks]
A steam power plant that operates on the ideal regenerative Rankine cycle with an open feedwater heater (fwh) is shown in the Figure below. Steam enters the turbine at 8 MPa and a temperature of 600 $^\circ$C (Stream 5). Part of the steam (at a mass flow rate of 5 kg/s) is extracted from the turbine at 1 MPa and is sent to the open feedwater heater (Stream 6). The remaining steam leaves the turbine as a saturated mixture at 20 kPa (Stream 7).
Assume that the pumps and turbine are reversible and adiabatic, and that there are no pressure drops in the boiler, condenser and open feedwater heater. Assume that saturated liquid leaves the condenser and open feedwater heater. Assume steady flow, negligible kinetic and potential energies.
Given that $h_6 = 2995.46$ kJ/kg
(a) Determine the net power input to pump 1, and pump 2, in kW.
(b) Determine the rate of heat input to the boiler, in kW.
(c) Determine the quality of the steam leaving the turbine at Stream 7.
(d) Determine the power output of the turbine, in kW.
(e) Determine the thermal efficiency of the cycle.
(f) Show the process on a well labeled T-s diagram. (You do not need to show numerical values, but Streams 1 to 7 must be clearly shown relative to the saturation lines)

16. [20 Marks]
A steam power plant that operates on the ideal regenerative Rankine cycle with an open feedwater heater (fwh) is shown in the Figure below. Steam enters the turbine at 8 MPa and a temperature of 600 ^∘C (Stream 5). Part of the steam (at a mass flow rate of 5 kg/s) is extracted from the turbine at 1 MPa and is sent to the open feedwater heater (Stream 6). The remaining steam leaves the turbine as a saturated mixture at 20 kPa (Stream 7).
Assume that the pumps and turbine are reversible and adiabatic, and that there are no pressure drops in the boiler, condenser and open feedwater heater. Assume that saturated liquid leaves the condenser and open feedwater heater. Assume steady flow, negligible kinetic and potential energies.
Given that h6 = 2995.46 kJ/kg
(a) Determine the net power input to pump 1, and pump 2, in kW.
(b) Determine the rate of heat input to the boiler, in kW.
(c) Determine the quality of the steam leaving the turbine at Stream 7.
(d) Determine the power output of the turbine, in kW.
(e) Determine the thermal efficiency of the cycle.
(f) Show the process on a well labeled T-s diagram. (You do not need to show numerical values, but Streams 1 to 7 must be clearly shown relative to the saturation lines)

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