$2-1.$ Your boss has assigned you the job of designing a rapid$-$mix tank for the new water

treatment plant for the town of Waffle. The design flow rate is $0\mathrm{.}050\frac{m^3}{s}.$ The average

water temperature is $8C.$ The following design assumptions for a rapid$-$mix tank have been

made:

Number of tanks$=1($with one backup$)$

Tank configuration: circular with liquid depth $=1\mathrm{.}0m$

Detention time $=5s$

Velocity gradient $=750s^{-1}$

Impeller type: turbine, $6$ flat blades, $Np=3\mathrm{.}6$

Available impeller diameters: $0\mathrm{.}25,0\mathrm{.}50,$ and $1\mathrm{.}0m$

Assume $B=(\frac{1}{3})H$

Design the rapid$-$mix system by providing the following:

Water power input in $kW$

Tank dimensions in $m$

Diameter of the impeller in $m$

Rotational speed of impeller in rpm