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)

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)

A
$1 / n$ appears as the intercept
B
Only $1 / n$ appears as the slope
C
log $(1 / n)$ appears as the intercept
D
Both k and $(1 / n)$ appear in the slope term

Solution:

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

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

The slope of this equation is $1 / n$ .

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