Methanol $($SG $=0\mathrm{.}8335,$ viscosity is equal to that of water$)$ is being transported from a very large reservoir and is entering at a standard $1\mathrm{.}25-$in S$40$ pipe at an absolute pressure of $14\mathrm{.}7$ psia. The methanol is transported at a total of $1450$ ft and passes through $15$ standard ells, $5$ gate valves $($open$),6$ tees $($standard$),$ and $4$ tees $($as ell, entering branch$).$ The methanol is discharged $22$ ft above the inlet at a gauge pressure of $8$ psig. If the fluid flows at a rate of $30$ gpm and the pump have an efficiency of $50\%,$ calculate the actual power needed in kW$.$

a$.3\mathrm{.}5$

b$.7880$

c$.2\mathrm{.}4$

d$.5880$

e$.3\mathrm{.}45$

f$.115$

Please provide the complete solution.