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Question: Answered & Verified by Expert
In the Freundlich isotherm $\left(\frac{\chi}{m}=k_P{ }^{1 / n}\right)$ plot of $\log \frac{x}{m} v s \log p$, the intercept is (where, $x, m, p$ and $k$ are mass of the gas, mass of adsorbent, pressure and constant which depend on the nature of the adsorbent, respectively)
ChemistrySurface ChemistryTS EAMCETTS EAMCET 2018 (07 May Shift 1)
Options:
  • A $k$
  • B $\log k$
  • C $e^k$
  • D $\ln \frac{1}{k}$
Solution:
1653 Upvotes Verified Answer
The correct answer is: $\log k$


For Freundlich adsorption isotherm equation
$$
\frac{x}{m}=k_p^{\frac{1}{n}}
$$
or
$$
\log \frac{x}{m}=\log k+\frac{1}{n} \log p
$$
A plot of $\log \frac{x}{m}$ versus $\log p$ is linear with slope $=\frac{1}{n}$ and intercept $=\log k$.

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