If the activation energy of a reaction is

Question:

If the activation energy of a reaction is $80.9 \mathrm{~kJ}$ $\mathrm{mol}^{-1}$, the fraction of molecules at $700 \mathrm{~K}$, having enough energy to react to form products is $\mathrm{e}^{-x}$. The value of $x$ is____________.

(Rounded off to the nearest integer)

[Use $R=8.31 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ ]

Solution:

Fraction of molecules to have enough energy

to react $=e^{-E a / R T}$

So, $x=\frac{E_{\mathrm{a}}}{R T}$

$=\frac{80.9 \times 10^{3}}{8.31 \times 700}$

$=13.9$

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