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5.5 What is an adsorption isotherm? Describe Freundlich adsorption isotherm. 

 

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The adsorption isotherm is a relation curve between the variation in the amount of gas adsorbed by the adsorbent with pressure at a constant temperature.  

Freundlich adsorption isotherm-  Freundlich gave an empirical relationship between the quantity of gas adsorbed by a unit mass of solid (adsorbent) and pressure (at a particular temperature).  

  • At high pressure- $\frac{x}{m}=k \cdot p_{[\text {[independent of } \mathbf{P}]}^0$
  • At intermediate pressure $\frac{x}{m}=k \cdot p^{\frac{1}{n}}$ for $\mathrm{n}>1 \mathrm{k}$ and $\mathbf{n}$ are constant (depend on nature of gas) Here $\mathbf{x}=$ mass of gas adsorbed, and $\mathbf{m}=$ mass of adsorbent at pressure $\mathbf{p}$

On taking log both sides-   

$\log \frac{x}{m}=\log (k)+\frac{1}{n} \log (p)$  

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