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JEE Main 201816 AprilOnline
Exam
JEE Main
Year
2018
Date
16 April
Mode
Online
Subject
Chemistry
Chapter
Chemical Kinetics

JEE Main 2018 · 16 April · Online · Chemistry · Chemical Kinetics

If 50 % of a reaction occurs in 100 second and 75 % of the reaction...

If 50 % of a reaction occurs in 100 second and 75 % of the reaction occurs in 200 second, the order of this reaction is:If 50 % of a reaction occurs in 100 second and 75 % of the reaction occurs in 200 second, the order of this reaction is:

Options

  1. A2
  2. B3
  3. CZero
  4. D1

Correct answer

D. 1

Step-by-step solution

50% of a reaction occurs in 100 second and 75% of the reaction occurs in 200 second, the order of this reaction is 1.

Let the initial reactant concentration is 1 M.

In the first 100 seconds, reactant concentration is reduced to 5050 % or1 \times \dfrac{50}{100} = 0 . 5M .

In the second 100 seconds (total 200 seconds from start), reactant concentration is reduced to 100−75=25100 - 75 = 25 % or1 \times \dfrac{25}{100} = 0 . 25M ..

Thus, we observe that after each 100 second period, the reactant concentration is reduced to one half. Hence, 100 seconds is the half-life period and is independent of reactant concentration. This is characteristic of the first-order reaction.

If 50 % of a reaction occurs in 100 second and 75 % of the reaction occurs in 200 second, the order of this reaction is:

First-order reaction as the half-life is constant.

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