Below is a two$-$stage countercurrent liquid liquid extraction unit. The feed enters from the $1$st Stage at a flow rate of $100$ kg per hour. $95\%$ of the feed consists of component $3($C$3)$ and $5\%$ consists of component $2($C$2).$ C$2$ in this mixture is extracted with component $1($C$1)$ sent with countercurrent from the $2$nd stage. The distribution coefficients $($K$)$ for components $1,2$ and $3$ are $20,5$ and $0\mathrm{.}1,$ respectively. Find the amounts and compositions of the upper and lower phases emerging from the stages $($and then the concentrations of the components C$1,$ C$2$ and C$3($in the upper phase$)$ manually and with a computer program.$L^1,L^2$ ve $L^3$;$x^1,x^2$ ve $x^3$

$V^1,V^2$ ve $L^3,Y^1,Y^2$ ve $Y^3$

Da$$lma Katsay$$s$$: $K=\frac{Y^j}{x^J}$

K$$tle dengesi:

$-F^j=A{K}^j{x}^{j}V+BL{x}^j$

$F=100k\frac{g}{s}a$

$C_3=95k\frac{g}{s}a$

$C_2=5k\frac{g}{s}a$