A well stirred tank initially contains $750kg,25\%$ by mass of sugar solution. The tank is fed with $5k\frac{g}{m}in$ of sugar solution having a concentration of $5\%$ by mass. At the same time, $2\mathrm{.}5\frac{L}{m}in$ of solution discharges from the tanks. Assuming constant density, which of the following differential equations deseribe the variation of $C_A($mass fraction of sugar$)$ with time $f($minutes$)($Solve questions $16$ to $18)$

Lutfen birini se$$in:

a$.[$:$C_A=0\mathrm{.}20[(1+2\mathrm{.}5\frac{t}{750}){]}^{-2}+0\mathrm{.}25\}$

b$.C_A=0\mathrm{.}50[(1+2\mathrm{.}5\frac{t}{750}{)}^2+0\mathrm{.}25]$

$c.C_A=5[(1+2\mathrm{.}5\frac{t}{750}{)}^{\frac{1}{2}}+0\mathrm{.}25]$

$d.C_A=0\mathrm{.}2[(1+2\mathrm{.}5t{)}^{\frac{1}{2}}+0\mathrm{.}25]$

$e.C_A=0\mathrm{.}2[(1+2\mathrm{.}5\frac{t}{750}{)}^2]$

Sccienimiternizle

$($Continued Q$16)$ A well stirred tank initially contains $750kg\mathrm{.}25\%$ by mass of sugar solution. The tank is fed with $5k\frac{g}{m}in$ of sugar solution having a concentration of $5\%$ by mass. At the same time, $2\mathrm{.}5\frac{L}{m}in$ of solution discharges from the tanks. Assuming constant density, which of the following differential equations describe the variation of $C_A($mass fraction of sugar$)$ with time $1($minutes$).$ What will be the sugar concentration $(\%)$ after $20$min?

L$$tfen birini se$$in:

a$.60\mathrm{.}09$

b$.56\mathrm{.}00$

c$.22\mathrm{.}00$

d$.14\mathrm{.}70$

e$.17\mathrm{.}50$

$($Continued Q$16)$ A well stirred tank initially contains $750kg,25\%$ by mass of sugar solution. The tank is fed with $5k\frac{g}{m}in$ of sugar solution having a concentration of $5\%$ by mass. At the same time, $2\mathrm{.}5\frac{L}{m}in$ of solution discharges from the tanks. What will be the $kg$ of sugar when the tank contains $1000kg$ solution?

Lutfen birini se$$in:

a$.112\mathrm{.}50$

b$.62\mathrm{.}62$

c$.556\mathrm{.}00$

d$.406\mathrm{.}25$

e$.162\mathrm{.}50$

Secimimitemizle