$2.(50$ pts $)$ Water is transported from a large reservoir to a tanker truck with the help of a centrifugal pump, as shown in the image. The pipeline is made of galvanized iron. The tanker truck has a maximum storage capacity of $10,000$ liters and must be completely filled within $40$ minutes. Neglect minor losses in the inlet and exit sections of the pipeline, as well as the straight pipe section before de first elbow $($the closer to the reservoir$).$ Take the properties of water as $\backslash (\backslash$rho$=1000\backslash$frac$\{\backslash$mathrm$\{$~kg$\}\}\{\backslash$mathrm$\{$~m$\}^\{2\}\},\backslash$mu$=1\mathrm{.}0\backslash$times $10^\{-3\}\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$ms$\}\backslash ).$

a$)$ Calculate the pump head required and select the pump according to the given performance curves. $(\backslash (\backslash$mathbf$\{35\}\backslash )$ pts$)$

b$)$ Calculate the pressure at point B $($right after the elbow outlet$).(15$ pts $)$