$[5$ marks$]$ Water is pumped through the $300mm-$diameter commercial steel pipe at a volumetric flow rate of $0\mathrm{.}3\frac{m^3}{s}$ from the lower tank to the upper one.

Parts $a,b$ and $c$ are independent.

a$)[2$ marks$]$ The friction loss $F($in $($:$\frac{m^2}{s^2}\}$ can be expressed as $F=(af+b)\frac{v^2}{2},$ where $f$ is the Fanning friction factor. Include all friction losses. Use the equivalent length approach. Find the constants a and $b.$

b$)[2$ marks$]$ Find an expression for the pump shaft power $($brake horse power$)$ in $kW$ as a function of $F($in $($:$\frac{m^2}{s^2}=\frac{J}{k}g\}.$ Pump efficiency $=80\%.$

c$)[1$ mark$]$ Calculate $Re$ and the Fanning friction factor $f$Plz Solve s b c for $1$