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  • The number of molecules with energy greater than the threshold energy for a reaction increases seven fold by a rise of temperation from <img alt="28^{\circ} \mathrm{C}" src="https://entrancecorner.

The number of molecules with energy greater than the threshold energy for a reaction increases seven fold by a rise of temperation from 28^{\circ} \mathrm{C} to 45^{\circ} \mathrm{C}. Its energy of action in \mathrm{J} / \mathrm{md}  will be

Option: 1

42957


Option: 2

31428


Option: 3

90815


Option: 4

33196


Answers (1)

best_answer

Given that threshold energy of rxu increases seven fold seven fold

\mathrm{ \begin{aligned} & k_2=7 k_1 \\ & \frac{k_2}{k}=7 \end{aligned} }
Temperature:-  \mathrm{E_1=28^{\circ} \mathrm{C}=301\, \mathrm{k}}

                         \mathrm{ E_2=45^{\circ} \mathrm{C}=318\, \mathrm{k} }

\mathrm{\begin{aligned} & \ln \left(\frac{K_2}{K_1}\right)=\frac{E_a}{R}\left(\frac{1}{E_1}-\frac{1}{E_2}\right) \\\\ & \ln 7=\frac{E_a}{8.314}\left(\frac{1}{301}-\frac{1}{318}\right) \\\\ & \ln 7=\frac{E_a}{8.314}\left(\frac{17}{95718}\right) \\\\ & 1.94=\frac{E_a}{8.314} \times\left(\frac{17}{95718}\right) \\\\ & E_a=90815 \end{aligned}}

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Ritika Jonwal

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