An unknown aqueous liquid mixture with a density of $71\mathrm{.}7922lb\frac{m}{f}{t}^3$ and a viscosity of $1\mathrm{.}005cP$ is pumped from an open tank to an elevated open tank at the rate of $5\mathrm{.}7\frac{L}{s}.$ Both tanks have a considerably large cross$-$sectional area. All the piping system is made of $4-$in$.$ schedule $40$ commercial steel. The pump efficiency is $70\%.$ If the inlet pressure to the pump is $\frac{1\mathrm{.}8}{b}ar,$ calculate;

a$)$ The power of the pump in $kW,[20p]$

b$)$ The pressure at the exit of the pump. $[15$ p$]$