In a plot of \(\log \left(\frac{x}{m}\right) v s \log p\), for the adsorption of a gas on solid, a straight…

In a plot of \(\log \left(\frac{x}{m}\right) v s \log p\), for the adsorption of a gas on solid, a straight line is obtained. The slope of that straight line is
  1. \(\frac{1}{n}\)
  2. \(K\)
  3. \(n\)
  4. \(\log K\)

Solution

From Freundlich adsorption isotherm, \(\frac{x}{m}=K p^{\frac{1}{n}}\) \(\Rightarrow \log \frac{x}{m}=\log K+\frac{1}{n} \log p\) So, the plot of \(\log \left(\frac{x}{m}\right)\) ws \(\log p\) results a straight line of slope \(=\frac{1}{n}\) intercept \(=\log K\)

Asked in: AP EAMCET 2020 (17 Sep Shift 2)

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