Question $16(3$ points$)$

In a simple non$-$ideal Rankine cycle, the feedwater pump receives $18k\frac{g}{s}$ of

saturated water at $15$ kPa $($abs$)$ and pumps it to the boiler at a pressure of $22$ MPa

$($abs$).$ The polytropic efficiency of the pump is $63\%.$ The turbine produces an

isentropic specific work of $25780k\frac{J}{k}g$ and a polytropic specific work of $21300$

$k\frac{J}{k}g.$

What is the polytropic Power of the Pump in kW$?$

$514$

$685$

$257$

$628$

$342$

$428$