Welcome to this deep dive into the fascinating world of
Free Radical Substitution reactions in Alkanes! This is a cornerstone topic for understanding organic reactions, especially for your JEE preparations. We'll start from the very basics and build up to the intricate details that are crucial for predicting products and understanding reaction mechanisms.
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Understanding Free Radical Substitution: The Basics
Alkanes are known for their relative inertness. They are saturated hydrocarbons, meaning they contain only single bonds, and their C-C and C-H bonds are quite strong. They don't readily undergo addition reactions like alkenes or alkynes, nor do they typically react with strong acids, bases, or oxidizing/reducing agents under normal conditions.
However, under specific conditions – typically exposure to
ultraviolet (UV) light or
high temperatures – alkanes can undergo reactions where one or more hydrogen atoms are replaced by another atom or group. This type of reaction is called a
substitution reaction. When this substitution involves highly reactive species known as
free radicals, it's specifically termed a
Free Radical Substitution reaction. The most common and studied example is the
halogenation of alkanes, where hydrogen atoms are replaced by halogen atoms (F, Cl, Br, I).
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What are Free Radicals?
Before we dive into the mechanism, let's understand our key player: the
free radical.
A
free radical is an atom or group of atoms possessing an
unpaired electron. This unpaired electron makes them extremely reactive and short-lived.
How are they formed? Free radicals are usually formed by
homolytic cleavage (or homolysis) of a covalent bond. In homolytic cleavage, each atom involved in the bond retains one electron from the shared pair when the bond breaks. This often requires energy input, typically in the form of UV light (represented as hν) or heat (Δ).
A — B --heat or hν--> A• + B•
Here, A• and B• are free radicals. The dot represents the unpaired electron.
Stability of Alkyl Free Radicals:
Just like carbocations, the stability of alkyl free radicals follows a specific order:
Tertiary (3°) > Secondary (2°) > Primary (1°) > Methyl (CH₃•)
This stability order is primarily due to
hyperconjugation and the
inductive effect. Alkyl groups (electron-donating groups) can stabilize the radical center by delocalizing the unpaired electron density through hyperconjugation with adjacent C-H bonds, and also by pushing electron density towards the electron-deficient radical center (though to a lesser extent than for carbocations).
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The Mechanism of Free Radical Halogenation: A Chain Reaction
The free radical halogenation of alkanes, such as the chlorination of methane, proceeds via a
chain reaction mechanism. This mechanism can be broken down into three distinct steps:
1.
Initiation Step
2.
Propagation Steps
3.
Termination Steps
Let's illustrate this using the
chlorination of methane (CH₄ + Cl₂ → CH₃Cl + HCl) as our prime example.
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1. Initiation Step: Creating the Radicals
This step requires energy (UV light or heat) to create the initial free radicals. It's the "kick-off" for the entire reaction.
Only the halogen molecule (e.g., Cl₂) undergoes homolytic cleavage. The C-H bond in methane is much stronger and does not break at this stage.
Cl — Cl --hν or Δ--> Cl• + Cl•
*Explanation:* A chlorine molecule absorbs a photon of UV light (hν) or enough thermal energy (Δ), causing the weak Cl-Cl bond (bond dissociation energy ~242 kJ/mol) to break homolytically, forming two highly reactive
chlorine free radicals (Cl•).
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2. Propagation Steps: The Chain Continues
These are the "heart" of the chain reaction. In these steps, a radical reacts with a stable molecule to form a new stable molecule and a new radical. This allows the reaction to continue without requiring further initiation.
There are two propagation steps:
a) Hydrogen Abstraction: A chlorine radical (Cl•) is highly reactive and seeks to pair its unpaired electron. It does so by abstracting a hydrogen atom from a stable methane molecule (CH₄). This breaks a C-H bond homolytically.
Cl• + CH₃—H --> HCl + CH₃•
*Explanation:* The Cl• attacks a methane molecule, breaking a C-H bond. A new H-Cl bond is formed, releasing hydrochloric acid (HCl), and generating a
methyl free radical (CH₃•). The C-H bond (bond dissociation energy ~439 kJ/mol) is much stronger than the Cl-Cl bond, but the overall reaction is exothermic because the H-Cl bond formed is very strong.
b) Halogen Abstraction: The newly formed methyl radical (CH₃•) is also highly reactive. It reacts with another stable chlorine molecule (Cl₂) to abstract a chlorine atom.
CH₃• + Cl—Cl --> CH₃Cl + Cl•
*Explanation:* The CH₃• attacks a chlorine molecule, breaking the Cl-Cl bond. A new C-Cl bond is formed, producing
chloromethane (CH₃Cl) (our product), and regenerating a
chlorine free radical (Cl•). The regeneration of Cl• is crucial because it can now go back and react with another methane molecule, continuing the chain reaction. This is why it's called a *chain* reaction.
NET PROPAGATION REACTION:
If you sum the two propagation steps, you'll see the radicals cancel out, giving the overall substitution reaction:
Cl• + CH₄ → HCl + CH₃•
CH₃• + Cl₂ → CH₃Cl + Cl•
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CH₄ + Cl₂ → CH₃Cl + HCl
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3. Termination Steps: Stopping the Chain
Eventually, the chain reaction needs to stop. This happens when two free radicals combine to form a stable, non-radical molecule. These steps consume radicals without generating new ones. Since radical concentrations are usually very low, termination steps are less frequent than propagation steps.
Possible termination steps:
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Radical-Radical Combination 1 (Cl• + Cl•):
Cl• + Cl• --> Cl₂
*Explanation:* Two chlorine radicals combine to reform a chlorine molecule.
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Radical-Radical Combination 2 (CH₃• + CH₃•):
CH₃• + CH₃• --> CH₃—CH₃ (Ethane)
*Explanation:* Two methyl radicals combine to form ethane. This is a common side product in free radical reactions.
*
Radical-Radical Combination 3 (CH₃• + Cl•):
CH₃• + Cl• --> CH₃Cl (Chloromethane)
*Explanation:* A methyl radical and a chlorine radical combine to form the desired product, chloromethane. While this forms a product, it also removes two radicals, thus terminating the chain.
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Reactivity and Selectivity in Halogenation
The choice of halogen and the structure of the alkane significantly influence the outcome of the reaction, particularly the
reactivity and
selectivity.
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1. Reactivity of Halogens
The reactivity of halogens in free radical substitution follows the order:
F₂ > Cl₂ > Br₂ > I₂
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Fluorination (F₂): Extremely exothermic and often explosive. It's difficult to control and typically leads to extensive fragmentation of the alkane. Not practically useful.
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Chlorination (Cl₂): Exothermic, but controllable. It can lead to
multiple substitutions (e.g., CH₄ can form CH₃Cl, CH₂Cl₂, CHCl₃, CCl₄). It is generally
less selective, meaning it reacts almost equally with primary, secondary, and tertiary hydrogens.
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Bromination (Br₂): Less exothermic and much slower than chlorination. It is significantly
more selective, preferring to substitute tertiary hydrogens over secondary, and secondary over primary. This makes it more useful for preparing specific monobrominated products.
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Iodination (I₂): Endothermic and reversible. The HI produced is a strong reducing agent and can reduce the alkyl iodide back to the alkane. Thus, it usually doesn't occur without an oxidizing agent (like HIO₃ or HNO₃) to remove HI and drive the reaction forward. It's generally not a practical method for synthesizing alkyl iodides.
Halogen |
Relative Reactivity |
Characteristics |
Selectivity |
|---|
F₂ |
Very High |
Explosive, uncontrollable, forms mixtures. |
Very Low |
Cl₂ |
High |
Exothermic, manageable, multiple substitutions possible. |
Low (but somewhat selective) |
Br₂ |
Moderate |
Less exothermic, slower, requires heat/light. |
High |
I₂ |
Very Low |
Endothermic, reversible, requires oxidizing agent. |
N/A (Impractical) |
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2. Reactivity of Hydrogen Atoms (and Radical Stability)
The relative ease with which a hydrogen atom is abstracted by a halogen radical (Cl• or Br•) is critical for determining the product distribution. This directly correlates with the stability of the intermediate alkyl radical formed.
The order of abstraction for hydrogen atoms is:
Tertiary (3°) > Secondary (2°) > Primary (1°)
This is because the stability of the free radical formed in the propagation step (R•) follows the same order:
3° R• > 2° R• > 1° R•
Example: Chlorination of Propane (CH₃-CH₂-CH₃)
Propane has two types of hydrogen atoms:
* Six primary (1°) hydrogens (on the CH₃ groups)
* Two secondary (2°) hydrogens (on the CH₂ group)
A chlorine radical can abstract either a 1° or a 2° hydrogen.
1.
Abstraction of 1° H:
Cl• + CH₃-CH₂-CH₃ --> HCl + CH₃-CH₂-CH₂• (1° radical)
CH₃-CH₂-CH₂• + Cl₂ --> CH₃-CH₂-CH₂Cl (1-chloropropane) + Cl•
2.
Abstraction of 2° H:
Cl• + CH₃-CH₂-CH₃ --> HCl + CH₃-CH•-CH₃ (2° radical)
CH₃-CH•-CH₃ + Cl₂ --> CH₃-CHCl-CH₃ (2-chloropropane) + Cl•
Relative Rates of Abstraction:
Experimental data shows that the relative rates of abstraction for different types of hydrogens at 25°C are approximately:
*
For Chlorination (Cl₂):
* 1° H : 2° H : 3° H ≈
1.0 : 3.8 : 5.0
This means a 2° H is 3.8 times more likely to be abstracted than a 1° H, and a 3° H is 5 times more likely. While there is a preference for more substituted hydrogens, the differences are not huge, leading to mixtures of products.
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For Bromination (Br₂):
* 1° H : 2° H : 3° H ≈
1.0 : 82 : 1600
This stark difference indicates that bromination is highly selective. A 3° H is 1600 times more likely to be abstracted than a 1° H! This makes bromination very useful for synthesizing specific products, especially when a tertiary hydrogen is available.
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Why the Difference in Selectivity?
The difference in selectivity between chlorination and bromination is explained by the
Hammond Postulate.
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Chlorination: The hydrogen abstraction step (R-H + Cl• → R• + HCl) is highly exothermic. According to the Hammond Postulate, the transition state for an exothermic reaction resembles the reactants (early transition state). In an early transition state, the C-H bond is only slightly broken, and the radical character on carbon is not fully developed. Therefore, the stability of the incipient alkyl radical (R•) has less influence on the activation energy, leading to lower selectivity. The reaction is fast and less discriminating.
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Bromination: The hydrogen abstraction step (R-H + Br• → R• + HBr) is much less exothermic, almost thermoneutral, or even slightly endothermic for 1° H. The transition state for an endothermic reaction resembles the products (late transition state). In a late transition state, the C-H bond is significantly broken, and the radical character on carbon is well developed. Thus, the stability of the forming alkyl radical (R•) strongly influences the activation energy. A more stable radical (3° > 2° > 1°) will have a significantly lower activation energy, leading to a much faster reaction and high selectivity. The reaction is slower but highly discriminating.
Think of it this way:
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Chlorine is like a greedy, fast attacker. It's so reactive that it will attack almost any hydrogen it encounters without much thought, just getting the job done quickly. So, you get a mix of products.
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Bromine is like a picky, strategic attacker. It's less reactive, so it takes its time, looks for the easiest target (the most stable radical intermediate), and only then attacks. This leads to a highly selective outcome.
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Predicting Products and Solving Problems (JEE Focus)
For JEE, you must be able to:
1.
Identify the type of hydrogens (1°, 2°, 3°) in a given alkane.
2.
Understand the relative reactivity of halogens (Cl vs. Br).
3.
Apply the relative rates of abstraction to calculate the approximate percentage of different monohalogenated products.
Example 1: Monochlorination of Isobutane (2-Methylpropane)
CH₃
|
CH₃ — CH — CH₃
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Types of Hydrogens:
* Nine primary (1°) hydrogens (on the three CH₃ groups).
* One tertiary (3°) hydrogen (on the central CH group).
*
Possible products:
1. Substitution at a 1° carbon: 1-chloro-2-methylpropane (isobutyl chloride)
2. Substitution at the 3° carbon: 2-chloro-2-methylpropane (tert-butyl chloride)
*
Calculation of Percentage Yields (using Cl₂ relative rates 1:3.8:5):
* Number of 1° H: 9
* Number of 3° H: 1
* Relative rate for 1° H = 1.0
* Relative rate for 3° H = 5.0
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"Reactivity Index" for 1° H substitution: 9 (hydrogens) × 1.0 (rate) = 9
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"Reactivity Index" for 3° H substitution: 1 (hydrogen) × 5.0 (rate) = 5
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Total Reactivity Index: 9 + 5 = 14
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% 1-chloro-2-methylpropane: (9 / 14) × 100 ≈
64.3%
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% 2-chloro-2-methylpropane: (5 / 14) × 100 ≈
35.7%
Conclusion: Even though the 3° position is more reactive, there are many more 1° hydrogens, leading to a significant amount of the 1° substituted product. Chlorination is not very selective.
Example 2: Monobromination of Isobutane
Using the same alkane, let's see the effect of bromination (Br₂ relative rates 1:82:1600):
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"Reactivity Index" for 1° H substitution: 9 (hydrogens) × 1.0 (rate) = 9
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"Reactivity Index" for 3° H substitution: 1 (hydrogen) × 1600 (rate) = 1600
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Total Reactivity Index: 9 + 1600 = 1609
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% 1-bromo-2-methylpropane: (9 / 1609) × 100 ≈
0.56%
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% 2-bromo-2-methylpropane: (1600 / 1609) × 100 ≈
99.44%
Conclusion: Bromination is highly selective. The tertiary substituted product is overwhelmingly favored, making it a very useful method for targeted synthesis if a tertiary hydrogen is available.
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Advanced Considerations for JEE
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Multiple Substitutions: In excess halogen, especially with chlorine, multiple hydrogen atoms can be substituted, leading to di-, tri-, and tetra-halogenated products. For example, in the chlorination of methane, you can get CH₃Cl, CH₂Cl₂, CHCl₃, and CCl₄. Controlling stoichiometry (using excess alkane) helps minimize polysubstitution.
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Stereochemistry: If the substitution creates a chiral center, a racemic mixture of enantiomers will be formed because the planar free radical intermediate can be attacked from either face with equal probability.
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Allylic/Benzylic Halogenation: Free radical mechanisms are also involved in allylic and benzylic halogenation (e.g., using NBS for bromination at allylic/benzylic positions), which are much more reactive due to the resonance stabilization of the resulting allylic or benzylic radical. While this falls under "alkenes" or "aromatics," the core free radical mechanism is the same.
By mastering the initiation, propagation, and termination steps, and understanding the nuances of reactivity and selectivity, you'll be well-equipped to tackle any free radical substitution problem in your JEE exams!