Example $1$: A CSTR $($without recycle$)$ is to grow a pure culture with the

following characteristics $($CDW is cell dry weight$).$

$$max $=0\mathrm{.}02$ hr$-1$

Ks $=10$ mg BOD$/$L

Y $=0\mathrm{.}5$ mgCDW$/$mg BOD

V $=50$ L

X$0=0$ mg$/$L

S$0=200$ mg BOD$/$L

Q $=0\mathrm{.}5$ L$/$hr

Ke $=0\mathrm{.}005$ hr$-1$

At steady state, answer the questions below.

a$)$What is the effluent BOD?

b$)$What is the biomass concentration of the pure culture?