Freundlich adsorption isotherms for the physi | vedclass

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(C) The Freundlich adsorption isotherm provides an empirical relationship between the quantity of gas adsorbed per unit mass of solid adsorbent $(\fra

Vedclass · Accepted Answer

$T_3 < T_2 < T_1$

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(C) The Freundlich adsorption isotherm provides an empirical relationship between the quantity of gas adsorbed per unit mass of solid adsorbent $(\frac{x}{m})$ and the pressure $(P)$ at a constant temperature. It is expressed as: $\frac{x}{m} = k \cdot P^{1/n}$ (where $n > 1$).Physical adsorption is an exothermic process. According to Le Chatelier's principle,for an exothermic process,the extent of adsorption decreases with an increase in temperature.Therefore,at a constant pressure,the value of $\frac{x}{m}$ is inversely proportional to temperature $(T)$.From the given graph,for a fixed pressure,the extent of adsorption follows the order: $\frac{x}{m} (T_3) > \frac{x}{m} (T_2) > \frac{x}{m} (T_1)$.Since $\frac{x}{m}$ is inversely proportional to temperature,the relationship between the temperatures must be $T_3 < T_2 < T_1$.

Freundlich adsorption isotherms for the physical adsorption of a gas at temperatures $T_1$,$T_2$ and $T_3$ are shown in the graph given below. The correct relationship between $T_1$,$T_2$ and $T_3$ is:

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