Sure, let's go through the detailed, step-by-step solution for calculating the mass percent of NaOH in the given solution.
### Step-by-Step Solution
1. Determine the mass of each component in the solution:
- Mass of NaOH: 53.7 grams
- Mass of H₂O: 368 grams
2. Calculate the total mass of the solution:
The total mass is the sum of the mass of NaOH and the mass of H₂O.
[tex]\[
\text{Total mass} = \text{Mass of NaOH} + \text{Mass of H₂O}
\][/tex]
Substituting the given values:
[tex]\[
\text{Total mass} = 53.7 \, \text{g} + 368 \, \text{g} = 421.7 \, \text{g}
\][/tex]
3. Calculate the mass percent of NaOH in the solution:
The mass percent is given by:
[tex]\[
\text{Mass percent of NaOH} = \left( \frac{\text{Mass of NaOH}}{\text{Total mass of the solution}} \right) \times 100
\][/tex]
Substituting the determined values:
[tex]\[
\text{Mass percent of NaOH} = \left( \frac{53.7 \, \text{g}}{421.7 \, \text{g}} \right) \times 100
\][/tex]
4. Perform the division and multiplication to find the mass percent:
[tex]\[
\text{Mass percent of NaOH} \approx 12.734171211761916 \%
\][/tex]
Therefore, the mass percent of NaOH in the solution is approximately 12.73%.
