A solution is 4.00% NaOH by mass. What mass of this solution contains 15.0 g of NaOH?

• A. 3.75 g
• B. 60.0 g
• C. 19.0 g
• D. 375 g

Answer: (D)

Verified step by step guidance

1. Identify the given information: the solution is 4.00% NaOH by mass, which means 4.00 g of NaOH is present in every 100 g of solution.
2. Set up the relationship between the mass of NaOH and the mass of the solution using the percent by mass formula: \(\text{Percent by mass} = \left( \frac{\text{mass of solute}}{\text{mass of solution}} \right) \times 100\).
3. Rearrange the formula to solve for the mass of the solution: \(\text{mass of solution} = \frac{\text{mass of solute} \times 100}{\text{percent by mass}}\).
4. Substitute the known values into the equation: mass of solute = 15.0 g, percent by mass = 4.00%.
5. Calculate the mass of the solution that contains 15.0 g of NaOH by performing the division as per the rearranged formula.