Which of the following curve will represent the variation of conductance C during titration of `CH_(3)COOH` by gradual addition of NaOH solution (V)

Options

A.
B.
C.
D.

Answer

To determine the variation of conductance (C) during the titration of acetic acid (CH₃COOH) with sodium hydroxide (NaOH), we need to analyze the behavior of the weak acid and the strong base during the titration process.

### Step-by-Step Solution:

1. **Understanding the Components**:
- **CH₃COOH (Acetic Acid)**: A weak acid that partially dissociates in solution.
- **NaOH (Sodium Hydroxide)**: A strong base that completely dissociates in solution to give Na⁺ and OH⁻ ions.

2. **Initial Conductance**:
- At the beginning of the titration, the solution contains only acetic acid, which has a low degree of dissociation. Therefore, the initial conductance is low.

3. **Addition of NaOH**:
- As NaOH is gradually added, the OH⁻ ions react with the acetic acid (CH₃COOH) to form acetate ions (CH₃COO⁻) and water. This reaction increases the concentration of ions in the solution, leading to an increase in conductance.

4. **Formation of Sodium Acetate**:
- The reaction can be represented as:
\[ \text{CH}_3\text{COOH} + \text{NaOH} \rightarrow \text{CH}_3\text{COONa} + \text{H}_2\text{O} \]
- Sodium acetate (CH₃COONa) is formed, which is highly ionized in solution. This contributes further to the increase in conductance.

5. **Near the Equivalence Point**:
- As we approach the equivalence point, where all acetic acid has reacted with NaOH, the conductance continues to rise. However, the increase in conductance becomes more pronounced due to the presence of a large number of fast-moving OH⁻ ions.

6. **Post Equivalence Point**:
- After the equivalence point, any additional NaOH will increase the concentration of OH⁻ ions significantly, leading to a sharp increase in conductance.

7. **Graphical Representation**:
- The curve representing the conductance will show a gradual increase initially (as weak acid is titrated), followed by a steep rise as the strong base is added, particularly after reaching the equivalence point.

### Conclusion:
The correct curve representing the variation of conductance during the titration of CH₃COOH by NaOH will show a gradual increase followed by a sharp rise, which corresponds to option D.