Plot and fit the data using excel. Print the resulting excel sheet and attach it to the assignment you turn into class. Or upload the excel file to Canvas.

$2\mathrm{.}46.$ In modeling the effect of an impurity on crystal growth, the following equation was derived:

$\frac{G-G_L}{G_0-G}=\frac{1}{K_L{C}^m}$

where $C$ is impurity concentration, $G_L$ is a limiting growth rate, $G_0$ is the growth rate of the crystal with no impurity present, and $K_L$ and $m$ are model parameters.

In a particular experiment, $G_0=3\mathrm{.}00{10}^{-3}m\frac{m}{m}in,$ and $G_L=1\mathrm{.}80{10}^{-3}m\frac{m}{m}in.$ Growth rates are measured for several impurity concentrations $C($parts per million, or $ppm),$ with the following results:

$\backslash$table$[[C(ppm),50\mathrm{.}0,75\mathrm{.}0,100\mathrm{.}0,125\mathrm{.}0,150\mathrm{.}0],[G(m\frac{m}{m}in){10}^3,2\mathrm{.}50,2\mathrm{.}20,2\mathrm{.}04,1\mathrm{.}95,1\mathrm{.}90]]$

$($For example, when $C=50\mathrm{.}0ppm,G=2\mathrm{.}50{10}^{-3}m\frac{m}{m}in).$

$($a$)$ Determine $K_L$ and $m,$ giving both numerical values and units.

$($b$)$ A solution is fed to a crystallizer in which the impurity concentration is $475ppm.$ Estimate the expected crystal growth rate in $(m\frac{m}{m}in).$ Then state why you would be extremely skeptical about this result.