MCQEasyJEE 2023Rate of Reaction

JEE Chemistry 2023 Question with Solution

Consider the following reaction that goes from AA to BB in three steps as shown below:

Reaction energy diagram from A to B with three peaks labeled Step I, Step II, and Step III, showing two valleys between peaks and axes labeled Energy and Reaction Coordinate.

Choose the correct option:

Number of Intermediates | Number of Activated complexes | Rate determining step

  • A

    22 | 33 | II

  • B

    33 | 22 | II

  • C

    22 | 33 | III

  • D

    22 | 33 | I

Answer

Correct answer:A

Step-by-step solution

Standard Method

Given: A reaction energy diagram shows conversion from AA to BB in three steps: I, II, and III.

Find: The number of intermediates, the number of activated complexes, and the rate-determining step.

Intermediates are species formed during a reaction that are subsequently consumed. In an energy profile, they are represented by the valleys between successive peaks. In the given diagram, there are two valleys, so there are 22 intermediates.

Activated complexes are the transition states present at the top of each energy barrier. In the given diagram, there are three peaks, so there are 33 activated complexes.

The rate-determining step is the slowest step, which corresponds to the step having the highest activation energy barrier. In the given diagram, Step II has the highest peak, so Step II is the rate-determining step.

Therefore, the correct option is A.

Energy Diagram Interpretation

Given: The reaction proceeds in three steps and its energy profile contains three maxima and two minima between reactant AA and product BB.

Find: Which option correctly matches the intermediates, activated complexes, and rate-determining step.

In a multi-step energy diagram:

  • Each peak corresponds to one activated complex.
  • Each valley between peaks corresponds to one intermediate.
  • The highest barrier identifies the rate-determining step.

Applying this to the diagram:

  • Number of peaks = 33 \Rightarrow number of activated complexes = 33
  • Number of valleys between peaks = 22 \Rightarrow number of intermediates = 22
  • Highest peak occurs in Step II \Rightarrow rate-determining step = II

Hence, the correct combination is 22 | 33 | II, so the correct option is A.

Common mistakes

  • Counting AA and BB as intermediates is incorrect because they are the reactant and product, not species formed and consumed during the mechanism. Count only the valleys between peaks as intermediates.

  • Counting steps instead of peaks for activated complexes is incorrect. Activated complexes correspond to the tops of the energy barriers, so you must count the peaks in the energy profile.

  • Choosing the first or last step as the rate-determining step without comparing barrier heights is incorrect. The correct method is to identify the step with the highest activation energy, which is the tallest peak.

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