An ideal reheat Rankine cycle operates between the pressure limits of $$10$$ $$kPa$$ and $$8$$ $$MPa,$$ with reheat being done at $$4$$ $$MPa.$$ The temperature of steam at the inlets of both turbines is $${500^ \circ }C$$ and the enthalpy of steam is $$3185$$ $$kJ/kg$$ at the exit of the high pressure turbine and $$2247$$ $$kJ/kg$$ at the exit of low pressure turbine. The enthalpy of water at the exit from the pump is $$191$$ $$kJ/kg$$. Use the following table for relevant data.

Disregarding the pump work, the cycle efficiency (in percentage ) is ________________

A reversible heat engine receives $$2$$ $$kJ$$ of heat from a reservoir at $$1000$$ $$K$$ and a certain amount of heat from a reservoir at $$800$$ $$K$$. It rejects $$1$$ $$kJ$$ of heat to a reservoir at $$400$$ $$K.$$ The net work output (in $$kJ$$) of the cycle is

$$1.5$$ $$kg$$ of water is in saturated liquid state at $$2$$ bar
$$\left( {{v_f} = 0.001061\,\,{m^3}/kg,\,\,{u_f} = 504.0kJ/kg,\,\,{h_f} = 505\,\,kJ/kg} \right).$$ Heat is added in a constant pressure process till the temperature of water reaches
$${400^ \circ }C\left( {v = 1.5493{m^3}/kg,u = 2967.0\,kJ/kg,\,\,h = 3277.0\,kJ/kg} \right).$$ The heat added (in $$kJ$$) in the process is ________.

In a power plant, water (density $$ = 1000\,\,kg/{m^3}$$ ) is pumped from $$80$$ $$kPa$$ to $$3$$ $$MPa$$. The pump has an isentropic efficiency of $$0.85.$$ Assuming that the temperature of the water remains the same, the specific work (in $$kJ/kg$$) supplied to the pump is