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Chemical Kinetics and Nuclear Chemistry question

2017 · Shift 2 · Q11
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Chemical Kinetics and Nuclear Chemistry question

2017 · Shift 2 · Q11

JEE AdvancedChemistryChemical Kinetics and Nuclear ChemistryMultiple correct+4 / −1
In a bimolecular reaction, the steric factor PPP was experimentally determined to be 4.5.4.5.4.5. The correct option(s) among the following is (are)
  1. A
    The activation energy of the reaction is unaffected by the value of the steric factor
  2. B
    Experimentally determined value of frequency factor is higher than that predicted by arrhenius equation
  3. C
    Since P=4.5,P = 4.5,P=4.5, the reaction will not proceed unless an effective catalyst is used
  4. D
    The value of frequency factor predicted by Arrhenius equation is higher than that determined experimentally
View written solutionFree

Correct answer: B, A

  1. Use collision theory and Arrhenius form

For a bimolecular reaction, the experimentally observed rate constant can be written as

k=PZe−Ea/RTk = P Z e^{-E_a/RT}k=PZe−Ea​/RT

where:

  • ZZZ = collision frequency,
  • PPP = steric factor,
  • EaE_aEa​ = activation energy.

In Arrhenius form,

k=Ae−Ea/RTk = A e^{-E_a/RT}k=Ae−Ea​/RT

So,

A=PZA = PZA=PZ

Thus the steric factor affects the frequency factor AAA, not the activation energy EaE_aEa​.


  1. Given P=4.5P = 4.5P=4.5

Since

A=PZ=4.5ZA = PZ = 4.5ZA=PZ=4.5Z

we have

A>ZA > ZA>Z

That means the experimentally determined frequency factor is greater than the simple collision-frequency prediction.


  1. Check each option

Option A:

The activation energy of the reaction is unaffected by the value of the steric factor

True, because PPP appears in the pre-exponential factor:

A=PZA = PZA=PZ

and does not change EaE_aEa​.

✅ A is correct


Option B:

Experimentally determined value of frequency factor is higher than that predicted by arrhenius equation

The intended comparison is between the experimentally observed pre-exponential factor and the basic collision prediction ZZZ.

Since

A=PZ=4.5Z,A = PZ = 4.5Z,A=PZ=4.5Z,

experimental AAA is higher than the collision-based prediction.

✅ B is correct


Option C:

Since P=4.5,P = 4.5,P=4.5, the reaction will not proceed unless an effective catalyst is used

This is false. A steric factor greater than 111 does not imply the reaction cannot proceed. It only means the effective pre-exponential factor is larger than the naive collision estimate.

❌ C is incorrect


Option D:

The value of frequency factor predicted by Arrhenius equation is higher than that determined experimentally

This is opposite to what we found. Since P=4.5>1P = 4.5 > 1P=4.5>1,

A=4.5Z>ZA = 4.5Z > ZA=4.5Z>Z

So the experimentally determined frequency factor is higher, not lower.

❌ D is incorrect


  1. Final answer

The correct options are:

A, B\boxed{A,\ B}A, B​


  1. Comparison with stored correct answer

Stored correct answer: B, A

This matches our derived answer exactly.

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