The data below correspond to $Cu(II)$ adsorption by aquifer sediments.

$\backslash$table$[[q_{C_u}(mmolk{g}^{-1})-$yaxis,$\frac{c_{C_u}(mmol{m}^{-3})}{6\mathrm{.}87}-$ xaxis$],[10\mathrm{.}64,3\mathrm{.}87],[18\mathrm{.}05,9\mathrm{.}19],[25\mathrm{.}39,28\mathrm{.}11],[34\mathrm{.}14,77\mathrm{.}68],[37\mathrm{.}34,155\mathrm{.}10]]$

$($a$)$ Plot an adsorption isotherm with the data and classify it on the basis of initial slope.

$($b$)$ Fit the data to the Langmuir isotherm equation according to the graphical methods presented in class. Show your graph and determine the parameters $b$ and $K.$

$($c$)$ What is the predicted value of $q$ at maximum adsorption?