$[20$ points$]$

Given flow rate of $1000\frac{m^3}{d},$BOD concentration of $100m\frac{g}{L},$ with $90\%$ removal, and reactor volume of

$1000m^3.$ Determine the steady state flux of substrate for CMBR if biofilm surface area is $5c\frac{m^2}{c}{m}^3.$ Then

using the following information, determine the biofilm thickness, and $K($concentration given one half the

maximum rate$).$ Finally, determine $K$ for deep biofilm where $S_w=0.$