Question

Adsorption of acetone from aqueous solution on activated carbon can be represented by the Langmuir equation: \[ \frac{q}{C} = \frac{1}{0.146} + \frac{0.190}{C} \] where \( q \) is the adsorbate loading mol/kg, and \( C \) is solute concentration in aqueous solution mol/m³. The maximum adsorbate loading in kg acetone/kg carbon is

• A. 0.0755
• B. 1.3014
• C. 0.1658
• D. 0.0096

Hint:

In Langmuir adsorption, the maximum adsorbate loading is obtained when the solute concentration tends to zero. Use the Langmuir equation to calculate the maximum adsorption capacity.

Answer 1

The Correct Option is A

- From the Langmuir equation, we know that the maximum adsorbate loading occurs when \( C = 0 \), i.e., when the concentration is zero. 
- At this point, the equation simplifies to: \[ \frac{q_{{max}}}{C} = \frac{1}{0.146} \] 
- Rearranging this gives the maximum adsorbate loading as \( q_{{max}} = 0.0755 \, {kg} \, {acetone/kg carbon} \). 
Conclusion: 
The maximum adsorbate loading is 0.0755, as given by option (A).