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Required information

Consider a cryogenic energy storage $($CES$)$ system in which nitrogen is liquefied during off$-$peak hours using surplus electricity generated by wind turbines and stored in a $530-m^3$ cryogenic tank at $T_1=-200C$ and $P_1=0\mathrm{.}12$MPa. During peak times, the entire liquid nitrogen is pumped to $P_2=15$MPa and is heated by ambient air to $T_3=20C$ at that pressure before it is routed to a nitrogen turbine where it expands to a pressure of $P_4=100$kPa. The properties of nitrogen are $h_1=-440\mathrm{.}1k\frac{J}{k}g,{}_1=825\mathrm{.}9k\frac{g}{m^3},h_3=-33\mathrm{.}36k\frac{J}{k}g,$ and $h_{4s}=-245\mathrm{.}5k\frac{J}{k}g($enthalpy at turbine exit for the case of isentropic expansion$).$

Determine the work consumed by the pump and the work produced by the turbine if the isentropic efficiency of the pump is $73$ percent and that of the turbine is $82$ percent. $($Round the final answers to the nearest whole numbers.$)$

The work consumed by the pump is $$ kWh $,$ and the work produced by the turbine is $$ kWh$.$