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JEE Main 202622 JanuaryMorning Shift
Exam
JEE Main
Year
2026
Date
22 January
Shift
Morning Shift
Subject
Chemistry
Chapter
Chemical Kinetics

JEE Main 2026 · 22 January · Morning Shift · Chemistry · Chemical Kinetics

A arrow product (First order reaction). Three sets of experiment...

A→\mathrm{A} \rightarrow product (First order reaction). Three sets of experiment were performed for a reaction under similar experimental conditions:
Run 1⇒100 mL1 \Rightarrow 100 \mathrm{~mL} of 10 M solution of reactant A
Run 2⇒200 mL2 \Rightarrow 200 \mathrm{~mL} of 10 M solution of reactant A
Run 3⇒100 mL3 \Rightarrow 100 \mathrm{~mL} of 10 M solution of reactant A+100 mL\mathrm{A}+100 \mathrm{~mL} of H2O\mathrm{H}_{2} \mathrm{O} added.
The correct variation of rate of reaction is

Options

  1. ARun 1<1< Run 2<2< Run 3
  2. BRun 3<3< Run 1<1< Run 2
  3. CRun 3<3< Run 1 = Run 2
  4. DRun 1=1= Run 2=2= Run 3

Correct answer

C. Run 3<3< Run 1 = Run 2

Step-by-step solution

For a first-order reaction, rate = k[A]k[A], where rate is directly proportional to reactant concentration.
Run 1: 100 mL of 10 M solution
Concentration = 10 M
Rate: r1=k×10r_1 = k \times 10
Run 2: 200 mL of 10 M solution
Concentration remains 10 M (increasing volume doesn't change concentration)
Rate: r2=k×10r_2 = k \times 10
Therefore r1=r2r_1 = r_2
Run 3: 100 mL of 10 M solution + 100 mL of H₂O
Total moles of A = 10 M × 0.1 L = 1 mol
Total volume = 0.2 L
New concentration = 1 mol / 0.2 L = 5 M
Rate: r3=k×5r_3 = k \times 5
Therefore r3<r1=r2r_3 < r_1 = r_2
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