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What mass of a 4.00% NaOH solution by mass contains 15.0 g of NaOH?

A. 37.5 g NaOH

B. 375 g NaOH

C. 3.75 g NaOH

D. 0.00267 g NaOH

1 Answer

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Final answer:

To calculate the mass of a 4.00% NaOH solution that contains 15.0 g of NaOH, you use the percentage by mass formula, which results in a mass of 375 g for the solution.

Step-by-step explanation:

To find the mass of a 4.00% NaOH solution that contains 15.0 g of NaOH, we set up a proportion based on the percentage by mass.

The formula for percentage by mass is:

Percentage by mass = (Mass of solute / Mass of solution) x 100%

So, for a 4.00% NaOH solution, the formula is:

4.00% = (15.0 g / Mass of solution) x 100%

By rearranging and solving for the mass of the solution, we find:

Mass of solution = (15.0 g / 4.00) x 100

Mass of solution = 375 g

Therefore, the mass of the NaOH solution needed is 375 g, which corresponds to option B.

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