Question

Catalyst pellets have a density of 2.0 g/c(C) If the specific surface area is 75 m²/g and the average pore diameter is \( 8 \times 10^{-7} \) cm, what is the porosity of the catalyst?

• A. 0.4
• B. 0.5
• C. 0.3
• D. 0.7

Hint:

The porosity of a catalyst can be determined by using the relationship between surface area, pore diameter, and density. It is crucial in determining the catalyst’s effectiveness.

Answer 1

The Correct Option is A

- The porosity \( \epsilon \) is related to the specific surface area \( A_s \) and the density \( \rho \) of the catalyst by the equation: \[ A_s = \frac{6(1 - \epsilon)}{d_p \rho} \] where \( d_p \) is the average pore diameter. - Rearranging to solve for \( \epsilon \), \[ \epsilon = 1 - \frac{A_s d_p \rho}{6} \] - Substituting the values: \[ \epsilon = 1 - \frac{75 \times 8 \times 10^{-7} \times 2}{6} = 0.4 \] 
Conclusion: The porosity of the catalyst is 0.4, as given by option (A).