A pharmaceutical manufacturer plans to install a new industrial production process. The

waste stream for the process is expected to have a concentration of $7\mathrm{.}5m\frac{g}{L}$ methylene

blue at a flow rate of $25gpm.$ The company environmental engineer suggests using

carbon adsorption to remove the methylene blue. The following adsorption data were

obtained in the laboratory. The liquid volume in each flask was $200mL$ and the initial

concentration of the methylene blue was $25m\frac{g}{L}.$

Use the Freundlich isotherm as a model for this process. Determine both of the

Freundlich parameters $(K$ and $\frac{1}{n}).$

Estimate the amount of activated carbon required to remove the contaminant each

year. Assume the carbon is removed from an adsorption column that reaches

equilibrium with the carbon at the $7\mathrm{.}5m\frac{g}{L}$ concentration. Do not consider

regeneration of the carbon.

Would the Langmuir Isotherm be an applicable to these data? Justify your answer.