For the first order reaction \( A \longrightarrow B+C \), carried out at \( 27^{\circ} \mathrm{C...

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For the first order reaction \( A \longrightarrow B+C \), carried out at \( 27^{\circ} \mathrm{C} \). If \( 3.8 \times 10^{-16} \% \) of the reactant molecules exists in the activated state, the \( E_{a} \) (activation energy) of the reaction is :
(a) \( 12 \mathrm{~kJ} / \mathrm{mol} \)
(b) \( 831.4 \mathrm{~kJ} / \mathrm{mol} \)
(c) \( 100 \mathrm{~kJ} / \mathrm{mol} \)
(d) \( 88.57 \mathrm{~kJ} / \mathrm{mol} \)
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