Steam with specific enthalpy $$\left( h \right)\,\,3214\,\,kJ/kg$$ enters an adiabatic turbine operating at steady state with a flow rate $$10kg/s.$$ As it expands, at a point where $$h$$ is $$2920$$ $$kJ/kg,$$ $$1.5$$ $$kg/s$$ is extracted for heating purposes. The remaining $$8.5kg/s$$ further expands to the turbine exit, where $$h=2374$$ $$kJ/kg$$. Neglecting changes in kinetic and potential energies, the net power output (in $$kW$$) of the turbine is __________.

A reversed Carnot cycle refrigerator maintains a temperature of $$ - {5^ \circ }C.$$ The ambient air temperature is $${35^ \circ }C.$$ The heat gained by the refrigerator at a continuous rate is $$2.5$$$$kJ/s.$$ The power (in watt) required to pump this heat out continuously is _____________.

A closed system contains $$10$$ $$kg$$ of saturated liquid ammonia at $${10^ \circ }C.$$ Heat addition required to convert the entire liquid into saturated vapour at a constant pressure is $$16.2$$ $$MJ.$$ If the entropy of the saturated liquid is $$0.88$$ $$KJ/kg.K,$$ the entropy (in $$kJ/kg.K$$) of saturated vapour is __________

Two identical metal blocks $$L$$ and $$M$$ (specific heat $$=0.4$$ $$kJ/kg.K$$), each having a mass of $$5$$ $$kg,$$ are initially at $$313$$ $$K.$$ A reversible refrigerator extracts heat from block $$L$$ and rejects heat to block $$M$$ until the temperature of block $$L$$ reaches $$293$$ $$K.$$ The final temperature (in $$K$$) of block $$M$$ is ___________.