A wastewater solution having a volume of $x{m}^3($Refer Note $1)$ contains $Ykg$

phenol $\frac{?}{m^3}$ of solution $($Refer Note $1).$ The solution is mixed thoroughly in a batch

process with $Zkg($Refer Note $1)$ of granular activated carbon until equilibrium is

reached. Assume that only physical adsorption occurs between phenol and the activated

carbon. The process follows the Freundlich isotherm as given below

$q=0\mathrm{.}199c^{0\mathrm{.}229}$

The equilibrium data for this system is shown in Table Q$4.$

$x=2\mathrm{.}5$

$y=0\mathrm{.}24$

$z=7\mathrm{.}0$

a$)$ Define adsorption and its differences with absorption using a schematic diagram

$(6$ marks$)$

b$)$ Show the material balance for this case.

$(3$ marks$)$

c$)$ Calculate the final equilibrium values of the concentration of phenol in both the

solution and in the adsorbent $($You may use a graph paper or Excel as your

working. You must include the working as an attachment in your submission$)$

$(10$ marks$)$

d$)$ Determine the extracted phenol in percentage.

$(2$ marks$)$

e$)$ Your colleague had proposed to use the ratio of $Zkg$ of activated carbon to treat

$x{m}^3$ wastewater containing $Ykg$ phenol $\frac{?}{m^3}$ of solution to scale$-$up the batch

adsorption process for industrial applications. As a process engineer, justify

with reasoning whether this proposal is suitable to be implemented as a full$-$

scale batch adsorption operation.

$q_{F}M+c_{F}S=qM+cS($use this equation for mass balance$)$