$(4$ pt$)$ Adsorption Isotherms

Five vials are prepared with a volume of solution containing a solute concentration $Ci$

and $10g$ of activated carbon per liter of solution. Given the following values for $Ci$ and

$Ce($the equilibrium solution concentration$),$ predict the linear isotherm partition

coefficient using linear isotherm. Compute Cs using the definition 'sorbed

concentration, $kg$ of $\frac{i}{k}g$ of solid' and compare it with the predicted values.

$(4$ pt$)$ Activated Carbon$/$Organic Solvent Partitioning

A solute is found to adsorb to activated carbon $($AC$)$ according to the Freundlich

isotherm with $K_p=10\frac{L}{g}$ and in $m\frac{g}{L}$ and $C_S$ in $\{$:$m\frac{g}{g})\mathrm{.}50mL$ of a solution

containing $50m\frac{g}{L}$ solute is added to a vial with $0\mathrm{.}10g$ carbon. What will be the

equilibrium concentration?

$($Hint: start from solute mass balance before and after $AC$ is added$)$