Step 1: Understanding Freundlich Isotherm:
It describes physical adsorption (Physisorption).
Equation: \( \frac{x}{m} = k p^{1/n} \), where \( n \textgreater 1 \).
Step 2: Analyzing the Options:
- (A) Equation:
Correct representation.
- (B) Temperature Effect:
Physisorption involves weak van der Waals forces and is an exothermic process (\( \Delta H \textless 0 \)). According to Le Chatelier's principle, increasing temperature favors the reverse process (desorption). Thus, adsorption decreases as temperature increases. The statement says adsorption is more at high temperature, which is Incorrect.
- (C) Slope:
Taking logs, \( \log \frac{x}{m} = \log k + \frac{1}{n} \log p \). A plot of \( \log(x/m) \) vs \( \log p \) is linear with slope \( 1/n \). Correct.
- (D) Limitation:
The empirical isotherm fails at high pressures where adsorption reaches saturation (independent of pressure). It is valid only for a limited intermediate pressure range. Correct.
Step 3: Final Answer:
Statement (B) is not correct.