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Chemistry · 2026 · 3 marks
CBSE 2026 · Region 5 · Set 3 · Q24
The rate of a particular reaction quadruples when the temperature increases from 300 K to 320 K. Calculate the energy of activation ( E_a ) of the…
The rate of a particular reaction quadruples when the temperature increases from $\displaystyle 300$ K to $\displaystyle 320$ K . Calculate the energy of activation $\displaystyle \left(\mathrm{E}_{\mathrm{a}}\right)$ of the reaction assuming that it does not change with temperature. (Given : $\displaystyle \log 4=0 \cdot 60, \mathrm{R}=8 \cdot 314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}$ )
Marking-scheme solution
[
]
[
]
T
T
K
Ea
log K
2.303R
T T
−
=
K2 = $\displaystyle 4$ K1
𝑙𝑜𝑔$\displaystyle 4$ =
Ea
[$\displaystyle 320$− $\displaystyle 300$]
[$\displaystyle 300$ ×$\displaystyle 320$ ]
$\displaystyle 0.60$ =
Ea
Ea =
= $\displaystyle 55,143.36$ J mol−$\displaystyle 1$ or $\displaystyle 55.14$ kJ mol−$\displaystyle 1$ .
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