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Chemistry · 2026 · 3 marks
CBSE 2026 · Region 5 · Set 2 · Q24
The rate of a particular reaction quadruples when the temperature increases from 293 K to 313 K. Calculate the energy of activation ( E_a ) of the…
The rate of a particular reaction quadruples when the temperature increases from $\displaystyle 293$ K to $\displaystyle 313$ K. Calculate the energy of activation $\displaystyle \left(\mathrm{E}_{\mathrm{a}}\right)$ of the reaction assuming that it does not change with temperature.
Marking-scheme solution
log K = - Ea /$\displaystyle 2.303$ RT
log
𝐸𝑎
$\displaystyle 2.303$ ×$\displaystyle 8.314$
[$\displaystyle 313$−$\displaystyle 293$]
[$\displaystyle 313$ ×$\displaystyle 293$]
log $\displaystyle 4$ =
𝐸𝑎
[$\displaystyle 20$]
[$\displaystyle 313$ ×$\displaystyle 293$]
Ea=
$\displaystyle 0.602$ ×$\displaystyle 19.147$ ×$\displaystyle 313$ ×$\displaystyle 293$
=$\displaystyle 52850$ J mol-$\displaystyle 1$ / $\displaystyle 52.85$ kJ mol-$\displaystyle 1$
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