Question #$2$: Energy Balance on a Flow System with a Pump and Heat Exchanger.

Water stored in $$ large, well$-$insulated storage tank at $21\mathrm{.}0C$ and atmospheric pressure

is being pumped at steady state from this tank by a pump at the rate of $45\frac{m^3}{h}.$ The

motor driving the pump supplies energy at the rate of $7\mathrm{.}5kW.$ The water is used as a

cooling medium and passes through a heat exchanger where $255kW$ of heat is added to

the water. The heated water then flows to a second, large, vented tank, which is $25m$

above the first tank. Determine the final temperature of the water delivered to the

second tank.