A $120k\frac{g}{m}in$ equimolar mixture containing benzene and toluene is fed to a distillation column. the distillation column is heated to $90C$ at $1$atm. The ratio of top product flowrate to bottom product flow rate is $3$:$2.$ The top product contains $70\%$mol of the less volatile component.

a$)$ Decide which component is less volatile and explain your reasoning. $[10$ pts$]$

b$)$ Draw a completely labeled flow chart of this process. $[10$ pts$]$

c$)$ In the separation of a mixture of benzene and toluene using a distillation column, what are the key design requirements that need to be considered? $[10$ pts$]$