Q$1.$ In the Deacon process for the manufacture of chlorine, $HCl$ and $O_2$ react to form $C{l}_2$ and $H_{2}O.35\%$ excess oxygen in the feed, and the fractional conversion of $HCl$ is $85\%.$

$($a$)$ Write the stoichiometric equation for the reaction.

$($b$)$ Draw a block flow diagram for the process, label all the knowns and unknowns.

$($c$)$ Perform degree of freedom analysis and calculate the mole fractions of the product stream components, using atomic species balances approach.

$($d$)$ Again perform the degree of freedom analysis and calculate the mole fractions of the product stream components by using the extent of reaction approach.