Water is the working fluid in an ideal Rankine cycle. Saturated vapor enters the turbine at 12 MPa, and the condenser pressure is 10 kPa. The mass flow rate of steam entering the turbine is 150 kg/s. If the work input to the pump is 12 kJ/kg, what is the rate of heat transfer in the boiler in MW?

Explanation:

The water enters to the pump as saturated liquid and equation is modelled after the First Law of Thermodynamics:

The boiler heats the water to the state of saturated vapor, whose specific enthalpy is:

The rate of heat transfer in the boiler is:

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