Problem $6$:

Risel Consider a two$-$stage treatiment system as shown:

Given :

$k_d=(0\mathrm{.}05$ day ;$(-1)$;$k=(5$ day;$(-1)$;$y=0\mathrm{.}5$;$K_s=50m\frac{g}{L}$

$Q_0=28000\frac{m^3}{d}ay$ ;$,S_0=560mglLasBO{D}_5$

$A{A}_1=14000m^3$;$,B_5{D}_5=0\mathrm{.}68BO{D}_u$;$,\frac{kg{O}_2}{(kg)Cell{s}^2}=1\mathrm{.}42$

$x_r=10000mgll$;$S_2=7\mathrm{.}5mgllasBO{D}_5$

${}_c(in$ reactor $2)=5$ days ;$R=0\mathrm{.}6$;$x_e=20m\frac{g}{L}$

Assuming Monod kinetics apply and steady$-$state operation; determine:

a$)x_1$

b$)S_1$

C$)P_{x1}=$ excess sludge production in the first reactor

d$)$ amount of orygen required daily in the first reactor.

e$)x_2$

f$)A{A}_2$

g$)Q_{}$

h$)P_{x_2}=$ excess sludge production in the $($second reactor; and

i$)$ amount of oxygen required daily in the second reactor.