`0.1` M `CH_(3)COOH` solution is titrated against ` 0.05` M NaOh . Calculate pH at `1//4^(th)` and `3//4^(th)` stage of neutralization of acid , the pH for ` 0.1 ` M `CH_(3)COOH` is 3 .

Explanation

To solve the problem of calculating the pH at the 1/4th and 3/4th stages of neutralization of a 0.1 M acetic acid (CH₃COOH) solution with 0.05 M NaOH, we will follow these steps:

### Step 1: Determine the Initial Conditions
We have:
- Concentration of acetic acid, [CH₃COOH] = 0.1 M
- Concentration of NaOH = 0.05 M
- Volume of acetic acid (assumed) = 1 L (for simplicity)

...