A nuclear power plant based on the Rankine cycle operates with a boiling-water reactor to develop net cycle power of 3 MW. Steam exits the reactor core at 100 bar, 520°C and expands through the turbine to the condenser pressure of 1 bar. Saturated liquid exits the condenser and is pumped to the reactor pressure of 100 bar. Isentropic efficiencies of the turbine and pump are 81% and 78%, respectively. Cooling water enters the condenser at 15°C with a mass flow rate of 114.79 kg/s. Determine (a) the thermal efficiency. (b) the temperature of the cooling water exiting the condenser, in "C. SCHEMATIC AND GIVEN DATA: P= 100 bar T = 520°C Turbine Reactor Core P2=1 bar cycle =3 MW Condenser Oou W Cooling water P4=PI= 100 bar 5 T,- 15°C Pump "cooling water =114.79 kg/s 3 Ps=P: =1 bar x, = 0 (saturated liquid) 1. Each component of the cycle is analyzed as a control volume at steady state. The control volumes are shown on the accompanying sketch by dashed lines. 2. Flow through the reactor core and condenser occurs at constant pressure. 3. Stray heat transfer in the turbine, condenser, and pump is ignored. 4. Kinetic and potential energy effects are negligible. 5. Condensate exits the condenser as saturated liquid. 6. For the cooling water, h= h(T).

Elements Of Electromagnetics
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A nuclear power plant based on the Rankine cycle operates with a boiling-water reactor to
develop net cycle power of 3 MW. Steam exits the reactor core at 100 bar, 520°C and expands
through the turbine to the condenser pressure of 1 bar. Saturated liquid exits the condenser and
is pumped to the reactor pressure of 100 bar. Isentropic efficiencies of the turbine and pump are
81% and 78%, respectively. Cooling water enters the condenser at 15°C with a mass flow rate of
114.79 kg/s. Determine
(a) the thermal efficiency.
(b) the temperature of the cooling water exiting the condenser, in "C.
SCHEMATIC AND GIVEN DATA:
P= 100 bar
T = 520°C
Turbine
Reactor
Core
P2=1 bar
cycle =3 MW
Condenser
Cooling water
P4=PI= 100 bar
5
T,- 15°C
Pump
mcoling water =114.79 kg/s
3
Ps=P: =1 bar
x, = 0 (saturated liquid)
1. Each component of the cycle is analyzed as a control volume at steady state. The control
volumes are shown on the accompanying sketch by dashed lines.
2. Flow through the reactor core and condenser occurs at constant pressure.
3. Stray heat transfer in the turbine, condenser, and pump is ignored.
4. Kinetic and potential energy effects are negligible.
5. Condensate exits the condenser as saturated liquid.
6. For the cooling water, h= h(T).
Transcribed Image Text:A nuclear power plant based on the Rankine cycle operates with a boiling-water reactor to develop net cycle power of 3 MW. Steam exits the reactor core at 100 bar, 520°C and expands through the turbine to the condenser pressure of 1 bar. Saturated liquid exits the condenser and is pumped to the reactor pressure of 100 bar. Isentropic efficiencies of the turbine and pump are 81% and 78%, respectively. Cooling water enters the condenser at 15°C with a mass flow rate of 114.79 kg/s. Determine (a) the thermal efficiency. (b) the temperature of the cooling water exiting the condenser, in "C. SCHEMATIC AND GIVEN DATA: P= 100 bar T = 520°C Turbine Reactor Core P2=1 bar cycle =3 MW Condenser Cooling water P4=PI= 100 bar 5 T,- 15°C Pump mcoling water =114.79 kg/s 3 Ps=P: =1 bar x, = 0 (saturated liquid) 1. Each component of the cycle is analyzed as a control volume at steady state. The control volumes are shown on the accompanying sketch by dashed lines. 2. Flow through the reactor core and condenser occurs at constant pressure. 3. Stray heat transfer in the turbine, condenser, and pump is ignored. 4. Kinetic and potential energy effects are negligible. 5. Condensate exits the condenser as saturated liquid. 6. For the cooling water, h= h(T).
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