Surface Chemistry - Result Question 19
19. For a linear plot of $\log (x / m)$ versus $\log p$ in a Freundlich adsorption isotherm, which of the following statements is correct? ( $k$ and $n$ are constants)
(2016 Main)
(a) $1 / n$ appears as the intercept
(b) Only $1 / n$ appears as the slope
(c) $\log \left(\frac{1}{n}\right)$ appears as the intercept
(d) Both $k$ and $1 / n$ appear in the slope term
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Answer:
Correct Answer: 19. (b)
Solution:
According to Freundlich adsorption isotherm, $\frac{x}{m}=k p^{1 / n}$
On taking logarithm of both sides, we get
$\begin{aligned} & \log \frac{x}{m}=\log k+\log p^{1 / n} \\ & \text { or } \log \frac{x}{m}=\log k+\frac{1}{n} \log p \\ & y=c+m x \\ & y=\log \frac{x}{m} \\ & c=\text { intercept }=\log k \\ & m=\text { slope }=\frac{1}{n} \text { and } x=\log p\end{aligned}$
BETA
