Statement-1: Acid catalysed dehydration of t-butanol is faster than n-butanol.
Statement-2: The order of stability of carbocation is `3^(@)gt2^(@)gt1^(@)`.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for statement-1
B. statement-1 is true, statement-2 is true, statement-2 is NOT a correct explanation for statement-1
C. statement-1 is true, statement-2 is false
D. statement-1 is false, statement-2 is true

Answer

To analyze the statements provided in the question, we will break down the reasoning step by step.

### Step 1: Understanding the Statements
- **Statement 1**: Acid-catalyzed dehydration of t-butanol is faster than n-butanol.
- **Statement 2**: The order of stability of carbocations is 3° > 2° > 1°.

### Step 2: Analyzing Statement 1
- Tertiary butanol (t-butanol) is represented as (CH₃)₃COH, while n-butanol is represented as CH₃CH₂CH₂OH.
- When these alcohols undergo dehydration in the presence of an acid (like concentrated sulfuric acid), they form carbocations.
- The reaction mechanism involves protonation of the alcohol, followed by loss of water to form a carbocation.

### Step 3: Carbocation Formation
- For t-butanol:
- Protonation leads to the formation of a tertiary carbocation: (CH₃)₃C⁺.
- For n-butanol:
- Protonation leads to the formation of a primary carbocation: CH₃CH₂CH₂⁺.

### Step 4: Stability of Carbocations
- The stability of carbocations follows the order: tertiary (3°) > secondary (2°) > primary (1°).
- Tertiary carbocations are stabilized by the inductive effect of the surrounding alkyl groups, making them more stable than primary carbocations.

### Step 5: Conclusion for Statement 1
- Since t-butanol forms a more stable tertiary carbocation compared to the primary carbocation formed from n-butanol, the dehydration of t-butanol is indeed faster than that of n-butanol.
- Therefore, **Statement 1 is true**.

### Step 6: Conclusion for Statement 2
- The order of stability of carbocations (3° > 2° > 1°) is a well-established principle in organic chemistry.
- Therefore, **Statement 2 is also true**.

### Step 7: Relationship Between the Statements
- Statement 2 explains why Statement 1 is true: the faster dehydration of t-butanol is due to the stability of the tertiary carbocation formed during the reaction.
- Thus, Statement 2 is a correct explanation for Statement 1.

### Final Conclusion
Both statements are true, and Statement 2 correctly explains Statement 1. Therefore, the correct option is that both statements are true, and Statement 2 is a correct explanation for Statement 1.