Question $5$: The equilibrium relationship for adsorption of color from a carrier is given by $y=0\mathrm{.}6x^{0\mathrm{.}5}$ where $y$ is the number of gram of color substance removed per gram of adsorbent and $x$ is the number of gram of color per $100g$ carrier. If a feed solution containing one part of color per three parts of carrier is contacted with $25kg$ of adsorbent, calculate the $\%$ of color removed by a single contact.

$[6]$

$[4]$