Acetic acid is to be extracted from an aqueous solution by using pure isopropyl ether as the solvent. The aqueous feed contains $60wt\%$ acetic acid enters the extractor at a rate of $200k\frac{g}{h}.$ The final raffinate phase contains $10wt\%$ of acetic acid. The length from intermediate coordinate $(M)$ to Solvent $)$ and to feed aqueous solution $(L_0)$ coordinate is equal to the ratio $1$:$1$ The ternary diagram of acetic acid$-$water$-$isopropyl ether system given in Appendix. Calculate

i$)$ The composition of the extract and raffinate

ii$)$ The number of theoretical stages required for this system