Assuming instantaneous adsorption kinetics, what is the minimum required dose of powdered activated carbon $($PAC$)$ for removing trichloroethene with the following concentrations and isotherm parameters?

cinf $=1\mathrm{.}2$ mg$/$L

ceff $=0\mathrm{.}01$ mg$/$L

m $=1/$n $=0\mathrm{.}48$

K $=55\mathrm{.}9$ mg$/$g $($L$/$mg$)0\mathrm{.}48$

Answer in units of mg$/$L$.$