$(36$ p$)$ Q$4)$ In the figure below, the EGL of the system is shown. End of the pipeline is open to the atmosphere at $B$ where the elevation head is $z_B=39m.$ Note that the pipeline carries water.

a$)$ Calculate the discharge in the system.

b$)$ If head loss in pipe $1$ is given by $h_L=8\frac{V_1^2}{2g},$ where $V_1$ is the velocity in pipe $1,$ calculate the pipe diameter.

c$)$ Calculate the pump power required $P_p,$ if the pump efficiency is $0\mathrm{.}85.$

d$)$ Draw the HGL on the given figure.

e