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Chemistry · 2024 · 3 marks
CBSE 2024 · Region 5 · Set 1 · Q27
The rate constant of a reaction quadruples when the temperature changes from 300 K to 320 K. Calculate the activation energy for this reaction. [ log…
The rate constant of a reaction quadruples when the temperature changes from $\displaystyle 300$ K to $\displaystyle 320$ K . Calculate the activation energy for this reaction. \[\left[\log 2=0.30, \log 4=0.60,2.303 \mathrm{R}=19.15 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right] \]
Marking-scheme solution
\(\displaystyle \log \frac{k_{2}}{k_{1}}=\frac{E_{a}}{2.303 \mathrm{R}}\left(\frac{T_{2}-T_{1}}{T_{1} T_{2}}\right)\)
It is given that, \(\displaystyle k_{2}=4 k_{1}\)
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