(N/A) Freundlich,in $1909$,gave an empirical relationship between the quantity of gas adsorbed by unit mass of solid adsorbent and pressure at a particular temperature. The relationship can be expressed by the following equation:
$\frac{x}{m} = k \cdot p^{\frac{1}{n}} (n > 1)$
Where $x$ is the mass of gas adsorbed on mass $m$ of the adsorbent at pressure $p$,and $k$ and $n$ are constants which depend on the nature of the adsorbent and the gas at a particular temperature.
The relationship is generally represented in the form of a curve where the mass of gas adsorbed per gram of the adsorbent is plotted against pressure. These curves indicate that at a fixed pressure,there is a decrease in physical adsorption with an increase in temperature. These curves always seem to approach saturation at high pressure.
Taking the logarithm of the equation:
$\log \frac{x}{m} = \log k + \frac{1}{n} \log p$