The teacher instructed three students 'A', 'B' and 'C' respectively to prepare a `50%` (mass by volume) solution of sodium hydroxide (NaOH). 'A' dissolved 50g of NaoH in 100 mL of water. 'B' dissolved 50g of NaOH in 100g of water while 'C' dissolved 50g of NaOH in water to make 100 mL of solution. Which one of them has made the desired solution and why?

Explanation

To determine which student prepared the desired 50% (mass by volume) solution of sodium hydroxide (NaOH), we need to understand what a mass by volume percentage solution means.

### Step-by-Step Solution:

1. **Understanding Mass by Volume Percentage**:
- The mass by volume percentage is calculated using the formula:
\[
\text{Mass by Volume \%} = \left( \frac{\text{Mass of Solute (g)}}{\text{Volume of Solution (mL)}} \right) \times 100
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