Statement 1: Acrylic acid `(CH_(2)=CHCOOH)` is a weaker acid than benzoic acid `(C_(6)H_(5)COOH)`.
Statement 2: Ethylenic double bond is less electron-donating than benzene ring.

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

Explanation

To analyze the statements regarding the acidity of acrylic acid and benzoic acid, we will break down the reasoning step by step.

### Step-by-Step Solution:

1. **Understanding the Acidity of Carboxylic Acids**:
- Carboxylic acids are characterized by the presence of the carboxyl group (-COOH). The acidity of these compounds can be compared based on the stability of their conjugate bases after deprotonation.

2. **Analyzing Acrylic Acid**:
- Acrylic acid has the structure CH₂=CHCOOH. When it donates a proton (H⁺), it forms the conjugate base CH₂=CHCOO⁻.
- The negative charge on the conjugate base is localized primarily on the carboxylate group and does not have significant resonance stabilization.

3. **Analyzing Benzoic Acid**:
- Benzoic acid has the structure C₆H₅COOH. Upon deprotonation, it forms the conjugate base C₆H₅COO⁻.
- The negative charge on the benzoate ion (C₆H₅COO⁻) can be delocalized over the benzene ring through resonance. This resonance stabilization makes the benzoate ion more stable than the conjugate base of acrylic acid.

4. **Comparison of Acidity**:
- Since the conjugate base of benzoic acid is more stable due to resonance, benzoic acid is a stronger acid than acrylic acid. Therefore, Statement 1 is true: Acrylic acid is indeed a weaker acid than benzoic acid.

5. **Analyzing Statement 2**:
- Statement 2 claims that the ethylenic double bond (in acrylic acid) is less electron-donating than the benzene ring.
- The ethylenic double bond (C=C) can provide some electron density, but it is not as effective as the resonance stabilization provided by the benzene ring.
- The benzene ring is highly stable and can delocalize electrons effectively, making it a stronger electron-donating group compared to the ethylenic double bond.

6. **Conclusion on Statement 2**:
- Therefore, Statement 2 is false: the ethylenic double bond is indeed less electron-donating than the benzene ring.

### Final Answer:
- Statement 1 is true, and Statement 2 is false.