For the first order reaction A → B + C, carried out at 27 ºC if 3.8 × 10–16 % of the reactant molecules exists in the activated state, the Ea (activation energy) of the reaction is

Engineering

Chemistry

Collision Theory

Question

For the first order reaction

A → B + C,

carried out at 27 ºC if 3.8 × 10^–16 % of the reactant molecules exists in the activated state, the E_a (activation energy) of the reaction is

88.57 kJ/mol

12 kJ/mol

831.4 kJ/mol

100 kJ/mol

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$e^{- \frac{E_{a}}{RT}} \times 100 = 3 .8 \times 10^{- 16}$ ;

$e^{- \frac{E_{a}}{RT}} = 3 .8 \times 10^{- 18}$

$- \frac{E_{a}}{RT} = In (3 .8 \times 10^{- 18})$ ;

R = 8.314 & T = 300 ;

E_a = 100 kJ / mol