In a single stage single row impulse turbine, the steam is entering at a velocity of $$1200$$ $$m/s$$ with a nozzle angle of $${20^ \circ }$$ and leaving the blade in the axial direction. The ratio of blade velocity to the tangential (whirl) velocity of steam is $$0.6.$$ Sketch the velocity diagram and calculate the work output.

In a steam power plant operating with simple Rankine cycle, the turbine is fed with steam at $$100$$ bar and $$673$$ $$K.$$ Determine the actual enthalpy and quality of the steam extracted at $$14$$ bar if the turbine stage efficiency is $$90$$ percent.

In a single heater regenerative cycle, steam enters the turbine at $$30$$ bar, $${300^0}C$$ and condenser pressure is $$0.096$$ bar. The feed water heater is a direct contact type which operates at $$5$$ bar. Draw flow and $$h$$-$$s$$ diagrams considering the condition of steam at entry to the heater in mixture region. Calculate steam extracted from heater to turbine in $$kg$$ per $$kg$$ of steam flow the cycle and cycle efficiency. The enthalpies of steam at different locations of the cycle are given in a table below. Pump work may neglected.

A power station produces $$500$$ $$MW$$ of power. Assuming a plant thermal efficiency of $$33.3$$ percent, calculate the rate of cooling water flow required in tons per hour, if the rise of cooling water temperature is to be restricted to $${5^ \circ }C.\,\,\,$$ The specific heat of the water used is $$4.2$$ $$kJ/kg$$-$$K.$$