plastic media biotower has vertical flow packing with n$=0\mathrm{.}5$ and k$20$ of $0\mathrm{.}045$ min$-1.$ The tower is cylindrical with a diameter of $10$ m$.$ Depth of packing medium is $6$ m$.$ Primary effluent flow rate is $2500$ m$3/$d with a soluble BOD$5$ of $250$ mg$/$L$.$ The average wastewater temperature is $16$ C$.$ Direct recirculation is practiced at $1$:$1$ ratio. Calculate the following: Organic loading rate of the biotower Hydraulic loading rate of the biotower Recirculation ratio Effluent soluble BOD$5$ concentration. please use equations for plastic media