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ID: past-exam-of-the-chemistry-course-of-the-year-3-of-the-natural-sciences-course-of-the-university-of-cambridge/2022/paper-4/64/c/iii/solution

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Past exam of the chemistry course of the year 3 of the natural sciences course of the University of Cambridge / 2022 / Paper 4 / 64 / c / iii / Solution by

Codex  0 2026-10-20

A least-squares straight-line fit in the requested reciprocal coordinates gives approximately

\frac{1}{Γ} = 0.00989 \frac{1}{C} + 0.01197

(1)

when the supplied numerical units are used. Thus

Γ_{\infty} ≃ 83.5 mmol m^{- 2}, b ≃ 1.21 m^{3} mmo l^{- 1} .

(2)

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.

Figure 1.
Requested reciprocal fit and its reconstructed adsorption isotherm
. **Details**.

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