$4-$ The pump shown in figure below delivers a head to the water. The difference in elevation of the two

ponds is $80m.$ The coefficients for minor losses are given in the figure.

a$)$ Evaluate $V$ and $Re,$

b$)$ Express the pump power required in terms of $V,d,L,g,f,z_{in},$ and $z_{\text{o}\text{u}\text{t}},$ and

c$)$ Calculate the pump power required in horsepower for the flow rate of $Q=0\mathrm{.}35\frac{m^3}{s}.$

Note: For water take $=1000k\frac{g}{m^3}$ and $=0\mathrm{.}001k\frac{g}{m}.$ s$.$ Take $g=9\mathrm{.}8\frac{m}{s^2}$