What will be the hydrogen ion concentration of a solution obtained by mixing 500 ml of `0.20 ` M acetic acid 500 ml of `0.30` M sodium acetate ` (K_(a) = 1.75 xx 10^(-5))`

Explanation

To find the hydrogen ion concentration of a solution obtained by mixing 500 ml of 0.20 M acetic acid and 500 ml of 0.30 M sodium acetate, we can use the Henderson-Hasselbalch equation, which is suitable for buffer solutions.

### Step 1: Calculate the moles of acetic acid and sodium acetate.

1. **Moles of acetic acid (CH₃COOH)**:
\[ \text{Moles of CH₃COOH} = \text{Concentration} \times \text{Volume} = 0.20 \, \text{M} \times 0.500 \, \text{L} = 0.10 \, \text{moles} \]
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