If the activation energy of a reaction is $480.9$ $k J$ ${m o l}^{- 1}$ , calculate the fraction of molecules at $400^{o} C$ which have enough energy to react to form the products.

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Solution

Fraction of molecules which have enough energy to react to form the products is given by
Fraction= $e^{- E_{A} / R T}$ $(1)$
Given, $E_{A}$ = $480.9 K J / m o l$
$R = 8.314 J / m o l$
$T = 400 ° C = (273 + 400) K + 673 K$
Putting the value in $(1)$ we get,
Fraction of molecule required $= e^{\frac{- 480.9 \times 10^{3}}{8.314 \times 673}} = e^{- 85.95} = 4.75 \times 10^{- 38}$

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If the activation energy of a reaction is 480.9 kJ mol−1, calculate the fraction of molecules at 400oC which have enough energy to react to form the products.

Fraction of molecules which have enough energy to react to form the products is given byFraction= e−EA/RT (1)Given, EA= 480.9KJ/mol R=8.314J/mol T=400°C=(273+400)K+673KPutting the value in (1) we get,Fraction of molecule required =e−480.9×1038.314×673=e−85.95=4.75×10−38

If the activation energy of a reaction is $480.9$ $k J$ ${m o l}^{- 1}$ , calculate the fraction of molecules at $400^{o} C$ which have enough energy to react to form the products.