= Solution
A least-squares straight-line fit in the requested reciprocal coordinates gives approximately
$$
\frac1\Gamma=0.00989\,\frac1C+0.01197
$$
when the supplied numerical units are used. Thus
$$
\boxed{\Gamma_\infty\simeq83.5\,\mathrm{mmol\,m^{-2}}},
\qquad
\boxed{b\simeq1.21\,\mathrm{m^3\,mmol^{-1}}}.
$$
The slope and intercept units follow from the plotted reciprocal quantities. These parameters are the result of the requested reciprocal linear fit; fitting the original nonlinear isotherm with a different error model would give slightly different estimates.
\Image[/past-exam-of-the-chemistry-course-of-the-year-3-of-the-natural-sciences-course-of-the-university-of-cambridge/2022/paper-4-adsorption-fit.png]
{title=Requested reciprocal fit and its reconstructed adsorption isotherm}
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