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A Rankine cycle uses water as its working fluid. The mass flow rate of water through...

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Mechanical Engineering

A Rankine cycle uses water as its working fluid. The mass flowrate of water through the cycle is 150 kg/s. Superheated vapourexits the boiler at 8 MPa and 560 °C. The condenser pressure is 8kPa. The water at the pump inlet is 35 °C. The isentropicefficiency of the pump is 75% and the isentropic efficiency of theturbine is 91%. The turbine and pump can be treated as adiabatic.The pressure drops of the working fluid as it follows through theboiler and through the condenser are negligible. Kinetic andpotential energy effects can also be ignored. For your analysis usethe state point numbering scheme indicated in the followingschematic: Do the following:

I. Draw the state points on a T-s diagram. Take care to locateeach point in the correct region: superheated, mixed andsubcooled.

II. Calculate the power developed in by the turbine.

III. Calculate the rate of heat transfer to the steam passingthrough the boiler.

IV. Calculate the power consumed by the pump in MW.

V. Calculate the rate of heat transfer from the cycle to thecooling water in the condenser in MW.

VI. Calculate the cycle’s back work ratio.

BONUS: Comment on state 2, what kind of effect can this have onthe turbine performance?

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