$1\mathrm{.}1.$ A mixture containing $45\mathrm{.}0\%$ benzene $($B$)$ and $55\%$ toluene $(T)$ by mass is fed at a rate of $2000k\frac{g}{h}$ into a distillation column. An overhead stream of $95wt\%$ B is produced and $8\%$ of the benzene fed to the column leaves in the bottom stream.

$1\mathrm{.}1\mathrm{.}1.$ Draw and completely label the process:

$(5$ marks$)$

$1\mathrm{.}1\mathrm{.}2.$ Determine the type of process.

$(2$ marks$)$

$1\mathrm{.}1\mathrm{.}3.$ Calculate the degree of freedom.

$(3$ marks$))$

$1\mathrm{.}1\mathrm{.}4.$ Determine the overhead flow rate and the mass flow rates of benzene and toluene in the bottom stream.

$(10$ marks$)$