$3.$ Consider a sorption experiment in which $100$ mg of a sorbent is added to $250$ mL water containing $10$ mg$/$L dissolved organic carbon. Naphthalene $($Log Kow $3\mathrm{.}42)$ is added to the water. The experiment is conducted in two phases:

a$.$ A control in which the naphthalene is added to a concentration of $10$ mg$/$L without sorbent to estimate losses to the walls of the vial. Assume the losses are proportional to the final measured concentration $($Cf$)$ which is $3$ mg$/$L and estimate a linear partition coefficient $($KlossCf$)$ to account for the mass not associated with the doc or dissolved in the water

b$.$ A sorption experiment in which the final measured concentration was $0\mathrm{.}01$ mg$/$L $.$ Estimate the mass of naphthalene adsorbed to the sorbent and the effective partition coefficient between the sorbent and water.