Calcium hypochlorite is produced by absorbing chlorine in milk lime$.$ A gas produced by the Deacon chlorine process enters absorption apparatus at a pressure of $740mm$ of $Hg$ and temperature of $298K.$ The partial pressure of the chlorine is $59mmHg,$ the remainder being inert gases. The gas leaves the absorpt apparatus at a temperature of $300K$ and a pressure of $743mm$ of with a partial pressure of chlorine of $0\mathrm{.}5mm$ of $Hg.$

$($a$)$ Calculate the volume of gases leaving the apparatus per $100$ entering.

$($b$)$ Calculate the weight of chlorine absorbed$,$ per $100m3$ of