What volume of water must be added to 500 ml,6M NaOH to make 2% (w/v) NaOH

Explanation

To solve the problem of determining what volume of water must be added to 500 ml of 6M NaOH to make a 2% (w/v) NaOH solution, we can follow these steps:

### Step 1: Calculate the number of moles of NaOH in the initial solution.
- **Formula**: Molarity (M) = Number of moles of solute / Volume of solution in liters
- Given: Molarity (M) = 6M, Volume of solution = 500 ml = 0.5 L
- Calculation:
\[
\text{Number of moles of NaOH} = \text{Molarity} \times \text{Volume} = 6 \, \text{mol/L} \times 0.5 \, \text{L} = 3 \, \text{moles}
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