QUESTION $5$: Liquid$-$liquid extraction

$(25)$

We will extract compound $B$ from an aqueous solution using compound $A$ in a counter$-$current liquid$-$liquid extraction cascade at atmospheric conditions. The feed contains $45\%$ of the solute and the solvent is pure. Feed flow rate is $100k\frac{g}{h}.$ The raffinate product must contain $10\%$ of solute. The ternary phase diagram is given in Figure $5$ and Figure $6$ below.

a$.$ Calculate the minimum solvent required to achieve the desired separation.

$(10)$

b$.$ Using the second $($duplicate graph$)$ find the number of equilibrium stages needed with a solvent flowrate of $250k\frac{g}{h}$ used. $(11)$

c$.$ Describe the binary components in the system $($A and B; A and C; B and C$)$ by stating whether they are partially miscible, miscible or immiscible?

$(3)$

d$.$ If we have a mixture of $25\%$A and $65\%$ B into which phase$($s$)$ will it separate?

$(1)$