Step 1: Understanding the Problem.
We are asked to calculate the weight percentage (W/W) of NaOH in a solution. The formula for weight percentage is:
\[
\text{Weight percentage} = \frac{\text{Weight of solute}}{\text{Weight of solution}} \times 100
\]
Step 2: Calculation.
- Molar mass of NaOH = 40 g/mol.
- Amount of NaOH = \(0.2 \, \text{mol}\). Therefore, the weight of NaOH = \(0.2 \times 40 = 8 \, \text{g}\).
- The weight of water = 22 g.
- The total weight of the solution = \(8 \, \text{g} + 22 \, \text{g} = 30 \, \text{g}\).
\[
\text{Weight percentage of NaOH} = \frac{8}{30} \times 100 = 35.71%
\]
Step 3: Conclusion.
The correct answer is (A) 35.71% W/W.