A liquid solvent at $30C($vapour pressure $=100\mathrm{.}8$kPa, density $=622k\frac{g}{m^3}$ and viscosity $=1\mathrm{.}29{10}^{-5}Pa*s)$ is to be delivered to tank B from tank A for storage purposes using a centrifugal pump with an efficiency of $80\%$ as shown in figure $1.$ Along the pump suction line of $8m$ there are $3$ units of $90$ standard elbows, $2$ units of half open globe valves, $1$ unit of fully open check valve and a sharp edge inlet. Meanwhile in the pump delivery line of $20m$ there are $2$ units of fully open butterfly valves, $6$ units of $90$ standard elbows and a sharp edge exit. Both closed tank A and B are kept at a pressure of $188$kPa and $200$kPa respectively and the pipe is made of composite having a diameter and relative roughness of $125mm$ and $0\mathrm{.}015$ respectively.

Figure $1$ Liquid solvent pumped from tank $A$ to tank $B$

a$)$ If the volumetric flow rate of the solvent is taken at $0\mathrm{.}02\frac{m^3}{s}$ and the useful $H_{\text{p}\text{u}\text{m}\text{p}}$ is $13m$ calculate the power required to drive the pump. Subsequently establish the NPSH available $($NPSHa$)$ for the described system.