Problem $3$

A smooth pipe of diameter $0\mathrm{.}7$ inch rises through a vertical distance of $33$ ft over the total pipe length of $9843$ ft $.$ Water of mean temperature $68$ F flows up the tube to exit at atmospheric pressure of $14\mathrm{.}5$ psi. If the required flow rate is $0\mathrm{.}023$ lit$/$s$,$ find the resistance of the pipe, pressure drop, and the work done against friction. $($Coefficient of friction $f=($:$\frac{0\mathrm{.}0791}{R}{e}^{0\mathrm{.}25}$