Question

Which from following represents the Freundlich’s empirical equation for adsorption of gas on solid (for \(n > 1\))?

• A. \(x = k p^{1/n}\)
• B. \(m = k p^n\)
• C. \( \frac{x}{m} = k p^n\)
• D. \( \frac{x}{m} = k p^{1/n}\)

Hint:

Freundlich’s equation is useful for describing adsorption on surfaces where adsorption sites are not uniform. The exponent \(1/n\) shows that adsorption decreases with increasing pressure.

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
We need to identify the correct mathematical expression for the Freundlich adsorption isotherm.
Step 2: Detailed Explanation:
The Freundlich isotherm provides an empirical relationship between the amount of gas adsorbed per unit mass of adsorbent (\( x/m \)) and the pressure of the gas (\( p \)) at a constant temperature.
The equation is given as:
\[ \frac{x}{m} = \text{k} p^{\frac{1}{n}} \text{ (where } n>1 \text{)} \] where \( x \) is mass of adsorbate, \( m \) is mass of adsorbent, and \( \text{k} \) and \( n \) are constants.
Step 3: Final Answer:
The correct equation is option (A).