A monoatomic gas, X, adsorbed on a surface, Langmuir adsorption isotherm. A plot of the fraction of surface… · ABC26PH0563

Subject: Physical Chemistry · Chapter: Surface Chemistry · Topic: Adsorption Isotherms · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

A monoatomic gas, X , adsorbed on a surface, Langmuir adsorption isotherm. A plot of the fraction of surface coverage, $\theta$ against the concentration of the gas $[\mathrm{X}]$, for very low concentration of the gas, is described by the equation
(a)$\theta=\mathrm{K}[\mathrm{X}]$
(b)$1-\theta=\dfrac{1}{\mathrm{K}[\mathrm{X}]}$
(d)$\theta=\frac{\mathrm{K}[\mathrm{X}]}{1-\mathrm{K}[\mathrm{X}]}$
(c)$\theta=\mathrm{K}^{1/2}[\mathrm{X}]^{1/2}$
Answer
Answer: A ✓ checked by 4AB · confidence high
Explanation
At low concentration Kc ≪ 1, so θ = Kc/(1 + Kc) ≈ K[X] (a).

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