A liquid mixture containing benzene and toluene will be distilled in a distillation

column. The feed $(30\%$ vapor, $40\%$ benzene$)$ enters the column at $500$kmo$\frac{l}{h}.$ The bottoms

and distillate containing $5\%$ and $95\%$ MVC will be collected. A $100$kmo$\frac{l}{h}$ sidestream,

having a composition of $60\%MVC,$ will be withdrawn from the column. Determine the

number of ideal stages and the location of the feed plate.