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 versus log p in a Freundlich adsorption isotherm, which of the following statements is correct? (k and n are constants)

1. A

appears as the intercept

2. B

Only  appears as the slope

3. C

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

4. D

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

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### Solution:

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 .

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