Chemical Kinetics - Result Question 55

####56. The activation energy for a simple chemical reaction $A \to B$ is $E_a$ in forward direction. The activation energy for reverse reaction

[2003]

(a) Is always double of $E_a$

(b) Is negative of $E_a$

(c) Is always less than $E_a$

(d) Can be less than or more than $E_a$

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Solution:

  1. (d) The activation energy of reverse reaction will depend upon whether the forward reaction is exothermic or endothermic.

As $\Delta H=E _{a \text{ (forward reaction) }}-E _{a \text{ (backward reaction) }}$ For exothermic reaction

$\Delta H=-ve$

$\therefore-\Delta H=E _{a(f)}-E _{a(b)}$

or $E _{a(f)}=E _{a(b)}-\Delta H$

$\therefore E _{a(f)}<E _{a(b)}$

for endothermic reaction

$\Delta H=+ve$

$\therefore \Delta H=E _{a(f)}-E _{a(b)}$ or $E _{a(f)}=\Delta H+E _{a(b)}$

$\therefore E _{a(f)}>E _{a(b)}$.



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