Langmuir adsorption isotherm.

To recover cellulase enzyme from $100mL$ of feed solution by adsorption using activated carbon. The concentration of enzyme is $0\mathrm{.}20m\frac{g}{m}L\mathrm{.}4g$ of activated will be added into the solution. The adsorption follows Langmuir adsorption isotherm. $=54\mathrm{.}8m\frac{g}{g}K=4\mathrm{.}53m\frac{L}{m}g$

How much of enzyme can be recovered?

$2.$ To derive the maximum cell production rate

To derive the maximum cell production rate

$D_{\text{m}\text{a}\text{x}\text{p}\text{r}\text{a}\text{d}}={}_m(1-\sqrt[\phantom{2}]{\frac{k_s}{k_s+c_s}})$

Number $2$ please