Catalyst A reduces the activation energy for a reaction by 10 kJ $\mathrm{mol^{-1}}$ at 300 K. The ratio of rate constants, $\frac{k_{T,\,\mathrm{Catalysed}}}{k_{T,\,\mathrm{Uncatalysed}}}$ is $e^x$. The value of $x$ is ___. [nearest integer] [Assume that the pre-exponential factor is same in both the cases. Given R = 8.31 J $\mathrm{K^{-1}\,mol^{-1}}$]

JEE Main 2022 · ChemistryNumerical answerNumerical valueMediumCalculation

JEE Main 26 June 2022, Shift 2, Chemistry Q88

Question 88 of 90 in this shift, Chemistry question 28 of 30, Section B.

Catalyst A reduces the activation energy for a reaction by 10 kJ

\mathrm{mol^{-1}}

at 300 K. The ratio of rate constants,

\frac{k_{T,\,\mathrm{Catalysed}}}{k_{T,\,\mathrm{Uncatalysed}}}

e^x

. The value of

x

is ___. [nearest integer] [Assume that the pre-exponential factor is same in both the cases. Given R = 8.31 J

\mathrm{K^{-1}\,mol^{-1}}

]

Official answer

NTA final key.

Chapter: Chemical Kinetics
Topic: Arrhenius Equation
Idea tested: Catalyst Effect on Arrhenius Parameters

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Asked 4× in all

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.