JEE Main 2022ChemistryChemical KineticsMediumNumerical

JEE Main 2022 — Chemical Kinetics Question with Solution

JEE Main 2022 (28 Jul Shift 1)

Question

For the given first order reaction A→B the half life of the reaction is 0.3010 min. The ratio of the initial concentration of reactant to the concentration of reactant at time 2.0 min will be equal to _____. (Nearest integer)

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Show full solutionCorrect answer: 100
Correct answer
100

Step-by-step explanation

Given A→B is a first order reaction 

and   t12=0.3010 min

AoAt at time 2 min=?

We know the integrated rate equation for first order reaction

K=2.303tlogA0 At

⇒0·693t12=2·303tlogA0 At⇒0·6930.3010 min=2·3032 minlogA0 At

logA0At=2

∴ A0 At=102=100

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About this question

This is a previous-year question from JEE Main 2022, covering the Chemical Kinetics chapter of Chemistry. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.