A steam power plant consists of a Boiler, a Turbine, a condenser and a pump as f

Question

A steam power plant consists of a Boiler, a Turbine, a condenser and a pump as four components. The turbine has a power output of 220 MW and the pump consumes 10 MW to keep the system to be operated. The plant consumes coal at a rate 36 tons /hour. The coal has its heating value of 30,000 kJ/kg.

Determine the plant efficiency

How much heat is discharged from condenser?

If the water is used for cooling in the condenser and only is allowed to rise 5 degree C in temperature, determine the rate of water in terms of tons/hour.

Explanation / Answer

net work done =power output -power input=220-10=210 MW

heat input=36000/3600 kg/s *30000 KJ/Kg=300MW

let Q amount of heat is released in condenser

for a cycle dU=0

so from first law

dQ=dU+dW

300-Q=0+210

2) so Q=90MW

1) efficiency=net workdone/heat input=210/300=70 % efficiency

3)so 90 *10^6=mC*dT

dT=5

C=4.186 J/gC=4186 j/KgC

so m=90*10^6/(4186*5) kg/s=4300 kg/s=4.3 *3600 ton/hr=15480 ton/hr

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