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  • If the activation energy of a reaction is <img alt="\mathrm{85.5 \mathrm{~kJ} \mathrm{~mol}^{-1}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B85.5%20%5Cmathrm%7B%7EkJ%7D%20%5C

If the activation energy of a reaction is \mathrm{85.5 \mathrm{~kJ} \mathrm{~mol}^{-1}}, the fraction of molecules at 550k, having enough energy to react to form product is \mathrm{e^{-x}}. What will be value of x. Use \mathrm{\left.R=8.51 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right\}}

Option: 1

11


Option: 2

19


Option: 3

30


Option: 4

25


Answers (1)

best_answer

\mathrm{ E_a=85.5 \mathrm{~kJ} / \mathrm{mol} }

fraction of molecules able to cross energy barrier

\mathrm{=e^{-E a / R T}=e^{-x}}
\mathrm{ \begin{gathered} x=\frac{E_a}{R T}=\frac{85.5 \times 1000}{8.31 \times 550}= \\\\ x=18.7 \approx 19 \end{gathered} }

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