Q$2$: $(9\mathrm{.}5$ marks$)$ A flow of $3\mathrm{.}3f\frac{t^3}{s}$ is to be pumped to a height of $60$ ft through a $160$ ft long castiron pipe, which has a diameter of $6$ in $.$ The friction factor $f$ of the pipe is $0\mathrm{.}020.$ The minor loss coefficients at the pipe entrance, the $90$ bend, and the valve are $0\mathrm{.}5,0\mathrm{.}3,$ and $10,$ respectively. Note that water is discharged $($at atmospheric pressure$)$ into air at the outlet of the pipe as shown in the figure below. Specific weight of water is