The order of reactivity of following alcohols with halogen acids is……….
(A) `CH_(3)CH_(2)-CH_(2)-OH` (B) `CH_(3CH_(2)-underset(CH_(3))underset(|)"CH"-OH`
`(C ) CH_(3)CH_(2)-underset(CH_(3))underset(|)overset(CH_(3))overset(|)C-OH`

Options

A. `(A)gt(B)gt(C )`
B. `(C )gt(B)gt(A)`
C. `(B)gt(A)gt(C )`
D. `(A)gt(C )gt(B)`

Explanation

To determine the order of reactivity of the given alcohols with halogen acids, we need to analyze the structure of each alcohol and the type of carbocation that will form during the reaction. The stability of the carbocation is crucial, as it directly influences the reactivity of the alcohol.

### Step-by-Step Solution:

1. **Identify the Types of Alcohols:**
- (A) `CH₃CH₂CH₂OH` is a **primary alcohol** because the hydroxyl group (-OH) is attached to a carbon that is connected to only one other carbon.
- (B) `CH₃CH(OH)CH₃` is a **secondary alcohol** because the hydroxyl group is attached to a carbon that is connected to two other carbons.
- (C) `CH₃C(OH)(CH₃)CH₃` is a **tertiary alcohol** because the hydroxyl group is attached to a carbon that is connected to three other carbons.

2. **Determine the Carbocation Formed:**
- When these alcohols react with halogen acids (like HCl, HBr, or HI), they will form carbocations as intermediates.
- (A) will form a **1° carbocation**: `CH₃CH₂CH₂⁺`
- (B) will form a **2° carbocation**: `CH₃CH⁺CH₃`
- (C) will form a **3° carbocation**: `CH₃C⁺(CH₃)CH₃`

3. **Stability of Carbocations:**
- The stability of carbocations increases with the degree of substitution:
- 3° > 2° > 1°
- Therefore, the tertiary carbocation (C) is the most stable, followed by the secondary (B), and then the primary (A).

4. **Order of Reactivity:**
- Since the reaction proceeds through the formation of carbocations, the order of reactivity of the alcohols with halogen acids will follow the stability of the carbocations formed.
- Thus, the order of reactivity is:
- (C) > (B) > (A)

### Final Answer:
The order of reactivity of the given alcohols with halogen acids is:
**(C) > (B) > (A)**

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