Questions

For a linear plot of $\mathrm{log}(x/m)$versus log p in a Freundlich adsorption isotherm, which of the following statements is correct? (k and n are constants)

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a

$1/\mathrm{n}$appears as the intercept

b

Only $1/\mathrm{n}$ appears as the slope

c

log $(1/\mathrm{n})$ appears as the intercept

d

Both k and $(1/\mathrm{n})$ appear in the slope term

detailed solution

Correct option is B

The Freundlich adsorption isotherm is $\frac{x}{m}=k{p}^{1/n}$

Taking logarithm, we get $\mathrm{log}\left(\frac{x}{m}\right)=\mathrm{log}k+\frac{1}{n}\mathrm{log}p$

The slope of this equation is $1/\mathrm{n}$.

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