A centrifugal pump is to be used to pump water from a lake to a storage tank which

is $165$ feet above the surface of the lake. The pumping rate is to be $10-35$ gal$/$min at a

water temperature of $43\backslash$deg F$.$ The water is used for drinking but will have to undergo

filtration and chlorine treatment because there is sediment in the lake. The pump on hand

can develop a discharge pressure of $60\mathrm{.}0$ psig pumping at a rate of $40\mathrm{.}0$ gal$/$min through a $2-$

inch schedule $40$ pipe.

a$.$ How much power does the pump develop?

b$.$ Is it sufficient for the task? Why or why not?

c$.$ Is the pipe chosen thick enough?