Problem $16.$ In the figure, the fluid is water, and it discharges freely into the at mosphere. For a mass flow of $\backslash (15\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash )$ : a$)$ Using the Bernoulli equation, determine the pressure in the manometer $(\backslash ($ P$\_\{1\}\backslash ),$ gauge pressure$).$

b$)$ Now we want to install a pump at the inlet of the system to pump the fluid. Calculate the electrical power consumed by a pump with an efficiency $($pumpmotor$)$ of $\backslash (80\backslash \%\backslash ).$