The following eqn for washout dilution rate is wrong. Then, obtain the correct expression for the washout dilution rate, assuming, the specific growth rate of cell follows Monod equation

Wrong Expression :

$D_{wo}=\frac{{}_m{S}_0}{K_m+S_0}[\frac{(1-{)}^2{}_m{S}_0}{K_s+S_0-(1-)D^{\text{'}}{}_m{S}_0}+1]$

where $D_{wo}$ is the washout dilution rate.