Use the formula provided in the hint: A pump, operating at steady state, is drawing water from a reservoir

at $T_1=15C$ and $p1=\frac{1}{b}ar$ and the mass flow rate is $1\mathrm{.}5k\frac{g}{s}.$

The exit pressure when the water enters a storage tank located $15$ m

above the pump inlet is $3$ bar. The water temperature remains

constant from inlet to outlet at $T=15C.$ Neglect both kinetic energy

Changes and heat transfer between the pump and the surroundings.

Assume $g=9\mathrm{.}81\frac{m}{s^2}.$ Determine the power needed by the pump, in

kW$.$

Hint: for compressed water assume $h(T,p)=h_f(T)+v_f(T)[p-p_{\text{s}\text{a}\text{t}}(T)]$