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JEE Main 2015
LEVELJEE Main

Animated Solution for Chemistry - Chemical Kinetics: Higher order () reactions are rare due to

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Visualized Solution

Collision Theory Basics

  • For a chemical reaction to occur, reactant molecules must undergo an effective collision.
  • An effective collision requires:
  • 1. Simultaneous collision of reacting species.
  • 2. Proper spatial orientation.
  • 3. Sufficient kinetic energy ().

Bimolecular Reactions

  • Probability of molecules colliding simultaneously is very high.
  • Hence, bimolecular reactions (order ) are very common.

Termolecular Reactions

  • Probability of molecules colliding simultaneously with proper orientation is significantly lower.
  • Hence, termolecular reactions (order ) are rare.

Higher Order Reactions ()

  • Probability of or more molecules colliding simultaneously is almost zero.
  • Therefore, elementary reactions with order are extremely rare.

Conclusion

  • The correct reason is the low probability of simultaneous collision of all the reacting species.

The Sigma Insight: Theories of Chemical Reaction

Solution Diagram

The Dance of Molecules

Collision Theory
Imagine a bustling dance floor. For a chemical reaction to occur, it's not enough for molecules to just be in the same room; they must physically bump into each other. But chemistry is a strict choreographer. According to Collision Theory, a successful reaction requires three things: the molecules must collide simultaneously, they must have sufficient kinetic energy (greater than or equal to the activation energy, ), and they must collide with the proper spatial orientation.

The Probability of a Perfect Meeting

Let's break down the math of meeting up.
If you want to high-five one friend, the chances of your hands meeting at the exact same time and place are pretty good. This represents a bimolecular reaction (order ), where two molecules collide. Because the probability of two independent entities colliding is high, bimolecular reactions are the most common type of elementary reaction in chemistry.
Now, imagine trying to coordinate a simultaneous high-five with two other friends. All three of you must arrive at the exact same coordinate in space, at the exact same fraction of a millisecond, and your hands must be angled perfectly. The probability drops drastically. This is a termolecular reaction (order ). While they do exist, they are significantly rarer than bimolecular reactions.

Why Higher Order Reactions are a Myth

What happens when we push the order to or ? Imagine four blindfolded people trying to run and bump heads at the exact same mathematical point in space at the exact same time. The probability of this happening is practically zero.
In chemical terms, the chances of four or more molecules undergoing a simultaneous collision with the correct orientation and sufficient energy are so infinitesimally small that we consider elementary reactions of order to be virtually non-existent.
When you see a complex chemical equation with many reactants, like , it does not mean molecules are colliding at once. Instead, the reaction occurs in a series of smaller, simpler steps (a mechanism), where each individual step is usually just a bimolecular collision.
Therefore, the rarity of higher-order reactions is purely a game of statistics: the low probability of simultaneous collision of all the reacting species.

Similar Questions

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According to the Arrhenius equation,

* Multiple Correct Options
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A high activation energy usually implies a fast reaction
(B)
Rate constant increase with increase in temperature. This is due to a greater number of collisions whose energy exceeds the activation energy
(C)
Higher the magnitude of activation energy, stronger is the temperature dependence of the rate constant
(D)
The pre-exponential factor is a measure of the rate at which collisions occur, irrespective of their energy.
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Rate of a reaction can be expressed by Arrhenius equation as . In this equation, represents

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the energy above which all the colliding molecules will react
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the energy below which colliding molecules will not react
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the total energy of the reacting molecules at a temperature,
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the fraction of molecules with energy greater than the activation energy of the reaction
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Two reactions and have identical preexponential factors. Activation energy of exceeds that of by . If and are rate constants for reactions and , respectively at , then is equal to ()

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In a bimolecular reaction, the steric factor P was experimentally determined to be 4.5. The correct option(s) among the following is(are):

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The value of frequency factor predicted by Arrhenius equation is higher than that determined experimentally
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The activation energy of the reaction is unaffected by the value of the steric factor
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For a reaction, consider the plot of versus given in the figure. If the rate constant of this reaction at is , then the rate constant at is

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For the reaction of with , the rate constant is at and at . The activation energy for the reaction, in is ()

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