`P^(H)` of `CH_(3)COOH` and `CH_(3)COONa` buffer is `4.8` in Which of the following conc. Conditions, the buffer capacity will be maximum
`[CH_(3)COOH]` & `[CH_(3)COONa]`

Options

A. `0.1 M, 02 M`
B. `0.2M, 0.1 M`
C. `0.34 M, 0.34 M`
D. `0.34M , 03 M`

Explanation

To determine the conditions under which the buffer capacity of the acetic acid (CH₃COOH) and sodium acetate (CH₃COONa) buffer is maximum, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Buffer Capacity**:
Buffer capacity refers to the ability of a buffer solution to resist changes in pH upon the addition of small amounts of acid or base. It is influenced by the concentrations of the acid and its conjugate base in the buffer.

2. **Using the Henderson-Hasselbalch Equation**:
The pH of a buffer solution can be calculated using the Henderson-Hasselbalch equation:
\[ \text{pH} = \text{pKa} + \log\left(\frac{[\text{Salt}]}{[\text{Acid}]}\right) \]
Here, [Salt] refers to the concentration of sodium acetate (CH₃COONa) and [Acid] refers to the concentration of acetic acid (CH₃COOH).

3. **Given Information**:
We are given that the pH of the buffer is 4.8.

4. **Condition for Maximum Buffer Capacity**:
The buffer capacity is maximum when the pH equals the pKa of the weak acid. This occurs when the concentrations of the acid and its conjugate base are equal:
\[ [\text{Salt}] = [\text{Acid}] \]
At this point, the log term becomes zero (since log(1) = 0), and thus:
\[ \text{pH} = \text{pKa} \]

5. **Conclusion**:
Therefore, to achieve maximum buffer capacity, the concentrations of acetic acid and sodium acetate must be equal.

### Final Answer:
The buffer capacity will be maximum when the concentrations of CH₃COOH and CH₃COONa are equal.