Acetic acid is titrated with NaOH solution. Which of the following statement is correct for this titration?

Options

A. Conductance increases upto equivalence point, then it decreases
B. Conductance increases upto equivalence point, then it increases
C. first conductance increases slowly upto equivalence point and then increases rapidly
D. first conductance increases slowly upto equivalence point ad then drops rapidly.

Explanation

To solve the question regarding the titration of acetic acid with NaOH solution, we will analyze the behavior of the solution during the titration process.

### Step-by-Step Solution:

1. **Identify the Reactants**:
- Acetic acid (CH₃COOH) is a weak acid.
- Sodium hydroxide (NaOH) is a strong base.

2. **Write the Reaction**:
- The neutralization reaction can be represented as:
\[ \text{CH}_3\text{COOH} + \text{NaOH} \rightarrow \text{Na}^+ + \text{CH}_3\text{COO}^- + \text{H}_2\text{O} \]

3. **Understand Conductance**:
- Conductance (\(\lambda\)) is a measure of the ability of an electrolyte solution to conduct electricity, which depends on the concentration and mobility of ions in the solution.

4. **Behavior Before the Equivalence Point**:
- As acetic acid is titrated with NaOH, the number of ions in the solution increases gradually. Initially, the conductance increases slowly because:
- The weak acid dissociates partially, contributing a limited number of ions.
- The strong base (NaOH) dissociates completely, increasing the total ion concentration.

5. **At the Equivalence Point**:
- At the equivalence point, all acetic acid has reacted with NaOH to form sodium acetate (CH₃COONa) and water. The solution now contains only the products and no excess acetic acid.

6. **Behavior After the Equivalence Point**:
- After the equivalence point, if more NaOH is added, the concentration of NaOH increases significantly, leading to a rapid increase in conductance. This is because:
- The solution now contains a high concentration of Na⁺ ions and OH⁻ ions from the excess NaOH.

7. **Conclusion**:
- Therefore, the correct statement regarding the titration of acetic acid with NaOH is that the conductance increases slowly up to the equivalence point and then increases rapidly after the equivalence point.

### Final Answer:
The correct statement for this titration is: **The conductance increases slowly up to the equivalence point and then increases rapidly after the equivalence point.**