Q$2)(35$ p$.)$ Two reservoirs are connected by the pipeline system shown in the figure below. The discharge in pipe $(1)$ is $Q_1=0\mathrm{.}240\frac{m^3}{s}.$ The pump head, $H_p=25m.$ Pipe information is provided in the table below. Taking kinematic viscosity, $v=1{10}^{-6}\frac{m^2}{s}$ and neglecting local $($minor$)$ losses; compute:

a$)$ the discharge in pipes $(2)$ and $(3),$

b$)$ the length of Pipe $3.$

$\backslash$table$[[$Pipe$,L(m),D(cm),(mm),Q(\frac{m^3}{s})$