Which one among the following is the correct order of strength of acids?

Options

A. `H_(2)SO_(4)gtH_(3)PO_(3)gtCH_(3)COOH`
B. `H_(3)PO_(3)gtH_(2)SO_(4)gtCH_(3)COOH`
C. `CH_(3)COOHgtH_(3)PO_(3)gtH_(2)SO_(4)`
D. `CH_(3)COOHgtH_(2)SO_(4)gtH_(3)PO_(3)`

Explanation

To determine the correct order of strength of the acids H2SO4 (sulfuric acid), H3PO3 (hypophosphorous acid), and CH3COOH (acetic acid), we can analyze their dissociation in aqueous solutions and their ability to stabilize their conjugate bases.

### Step-by-Step Solution:

1. **Identify the Acids:**
- H2SO4: Sulfuric acid
- H3PO3: Hypophosphorous acid
- CH3COOH: Acetic acid

2. **Dissociation of Acids:**
- **H2SO4**: This is a strong acid that completely dissociates in water to produce H⁺ ions and its conjugate base (HSO4⁻).
- **H3PO3**: This is also a relatively strong acid but is not as strong as sulfuric acid. It partially dissociates in water to produce H⁺ ions and its conjugate base (H2PO3⁻).
- **CH3COOH**: Acetic acid is a weak acid that only partially dissociates in water, producing a small amount of H⁺ ions and its conjugate base (CH3COO⁻).

3. **Stability of Conjugate Bases:**
- The strength of an acid is often related to the stability of its conjugate base.
- **H2SO4**: The conjugate base (HSO4⁻) is stabilized by resonance, allowing for multiple structures that distribute the negative charge.
- **H3PO3**: The conjugate base (H2PO3⁻) has fewer resonance structures compared to HSO4⁻, making it less stable.
- **CH3COOH**: The conjugate base (CH3COO⁻) is also stabilized by resonance, but the overall stabilization is less than that of HSO4⁻.

4. **Comparison of Acid Strengths:**
- Since H2SO4 has the most stable conjugate base due to greater resonance stabilization, it is the strongest acid.
- H3PO3, with fewer resonance structures, is weaker than H2SO4 but stronger than CH3COOH.
- CH3COOH is the weakest acid among the three due to its partial dissociation and less stable conjugate base.

5. **Final Order of Acid Strength:**
- The correct order of strength of the acids is:
- H2SO4 > H3PO3 > CH3COOH

### Conclusion:
The correct order of strength of the acids is H2SO4 > H3PO3 > CH3COOH, which corresponds to option A.