The following equilibria is established when `H_(2)SO_(4)` is dissolved in acetic acid:
`H_(2)SO_(4) + CH_(3)COOH hArr Hoverset(Theta)SO_(4) + CH_(3)COOoverset(o+)H_(2)`
The set that characterised the conjugate acid-base pairs is:

Options

A. `(H_(2)SO_(4),CH_(3)COOH)` and `(CH_(3)COOoverset(o+)H_(2),HSoverset(Theta)O_(4))`
B. `(H_(2)SO_(4),CH_(3)COOoverset(o+)H_(2))` and `(CH_(3)COOH,H_(2)SO_(4))`
C. `(CH_(3)COOoverset(o+)H_(2),H_(2)SO_(4))` and `(Hsoverset(Theta)O_(4),CH_(3)COOH)`
D. `(H_(2)SO_(4),HSoverset(Theta)O_(4))` and `(CH_(3)COOoverset(o+)H_(2),CH_(3)COOH)`

Explanation

To solve the problem regarding the equilibria established when `H₂SO₄` is dissolved in acetic acid, we need to identify the conjugate acid-base pairs involved in the reaction:

### Step-by-Step Solution:

1. **Write the Reaction:**
The reaction given is:
\[ H₂SO₄ + CH₃COOH \rightleftharpoons HSO₄⁻ + CH₃COOH₂⁺ \]

2. **Identify the Acids and Bases:**
- **H₂SO₄ (sulfuric acid)** is a strong acid that donates a proton (H⁺).
- **CH₃COOH (acetic acid)** is a weak acid that can also donate a proton but is less likely to do so compared to H₂SO₄.

3. **Determine the Conjugate Base and Conjugate Acid:**
- When **H₂SO₄** donates a proton (H⁺), it forms **HSO₄⁻**. Thus, **HSO₄⁻** is the conjugate base of **H₂SO₄**.
- When **CH₃COOH** accepts a proton (H⁺), it forms **CH₃COOH₂⁺**. Therefore, **CH₃COOH₂⁺** is the conjugate acid of **CH₃COOH**.

4. **Identify the Conjugate Acid-Base Pairs:**
- The conjugate acid-base pair from the reaction is:
- **H₂SO₄ (acid) ↔ HSO₄⁻ (conjugate base)**
- **CH₃COOH (base) ↔ CH₃COOH₂⁺ (conjugate acid)**

5. **Check the Options:**
Now we need to check the provided options to find the correct conjugate acid-base pairs:
- **Option 1:** H₂SO₄ (acid), CH₃COOH (acid) - Incorrect
- **Option 2:** HSO₄⁻ (acid), CH₃COOH₂⁺ (acid) - Incorrect
- **Option 3:** CH₃COOH₂⁺ (acid), HSO₄ (acid) - Incorrect
- **Option 4:** HSO₄⁻ (conjugate base of H₂SO₄), CH₃COOH₂⁺ (conjugate acid of CH₃COOH) - Correct

### Final Answer:
The correct set that characterizes the conjugate acid-base pairs is **Option 4**: HSO₄⁻ and CH₃COOH₂⁺.