Which of the following represents the Freundlich adsorption isotherms?
(A)

(B)

(C)

(D)

Choose the correct answer from the options given below:

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

This can be represented graphically in several ways:

A. $$x/m$$ vs $$P$$: This gives a curve (not linear) which is characteristic of Freundlich adsorption. ✓

B. Taking log on both sides: $$\log\frac{x}{m} = \log k + \frac{1}{n}\log P$$. Plot of $$\log(x/m)$$ vs $$\log P$$ is a straight line with slope $$1/n$$ and intercept $$\log k$$. ✓

C. $$x/m$$ vs $$c$$ (concentration): This doesn't directly represent the Freundlich isotherm equation (which uses pressure for gases). ✗

D. $$x/m$$ vs $$P^{1/n}$$: From the equation, $$x/m = k \cdot P^{1/n}$$, this is a straight line passing through the origin with slope $$k$$. ✓

The correct representations are A, B, D only.