Question

In a reaction carried out at 400 K, 0.01% of the total number of collisions is effective. The energy of activation of the reaction is

• A. 13.3 kJ/mol
• B. 23.5 kJ/mol
• C. 3.2 kJ/mol
• D. 30.6 kJ/mol

Answer 1

The correct option is D

30.6 kJ/mol

$e^{-\frac{E_a}{RT}}=\frac{0.01}{100}\Rightarrow -\frac{E_a}{RT}=2.3031log{10}^{-4}\Rightarrow E_a=2.303\times 4\times 8.314\times 400=30.6kJ$