Statement-1: Ethyne is stronger acid than ethene.
and
Statement-2 Introduction of alkyl group activates benzene ring

Options

A. (a) Statement-1 is True , Statement-2 is True , Statement-2 is a correct explanation for Statement-2
B. (b) Statement-1 is True , Statement-2 is True , Statement-2 is NOT a correct explanation for Statement-2
C. (c) Statement-1 is True , Statement-2 is False
D. (d) Statement-1 is False , Statement-2 is True

Answer

To solve the problem, we need to analyze both statements provided in the question.

### Step 1: Analyze Statement 1
**Statement 1:** Ethyne is a stronger acid than ethene.

- **Understanding Acidity:** The acidity of a compound is determined by its ability to donate protons (H⁺). When a compound donates a proton, it forms a conjugate base.
- **Structures of Ethyne and Ethene:**
- Ethyne (C₂H₂) has the structure H-C≡C-H (triple bond).
- Ethene (C₂H₄) has the structure H₂C=CH₂ (double bond).
- **Hybridization:**
- In ethyne, the carbon atoms are sp hybridized.
- In ethene, the carbon atoms are sp² hybridized.
- **S-character:**
- The sp hybridization has 50% s-character, while sp² has 33% s-character.
- Greater s-character means greater electronegativity, which stabilizes the negative charge on the conjugate base.
- **Conclusion for Statement 1:** Since the conjugate base of ethyne is more stable due to higher s-character, ethyne is indeed a stronger acid than ethene. Therefore, **Statement 1 is true.**

### Step 2: Analyze Statement 2
**Statement 2:** Introduction of alkyl group activates the benzene ring.

- **Understanding Activation of Benzene:**
- Alkyl groups are electron-donating groups and can activate the benzene ring towards electrophilic substitution.
- **Mechanism of Activation:**
- The alkyl group can stabilize the positive charge that develops during the reaction through hyperconjugation and resonance.
- **Example:**
- If a methyl group (–CH₃) is attached to benzene, it can donate electron density to the ring, making it more reactive.
- **Conclusion for Statement 2:** The introduction of an alkyl group does activate the benzene ring through hyperconjugation. Therefore, **Statement 2 is also true.**

### Step 3: Determine Relationship Between Statements
- **Are the statements related?**
- Statement 1 discusses acidity, while Statement 2 discusses the activation of the benzene ring. They are both true but refer to different concepts.
- **Correct Explanation:** Statement 2 does not explain Statement 1, as they pertain to different chemical properties.

### Final Conclusion
- **Option B is correct:** Statement 1 is true, Statement 2 is true, but Statement 2 is not a correct explanation for Statement 1.