Considering the definition of percentage by mass and density, the percentage by mass of a NaCl solution is 53.917%.
<h3>Percentage by mass</h3>
The percentage by mass expresses the concentration and indicates the amount of mass of solute present in 100 grams of solution.
In other words, the percentage by mass of a component of the solution is defined as the ratio of the mass of the solute to the mass of the solution, expressed as a percentage.
The percentage by mass is calculated as the mass of the solute divided by the mass of the solution, the result of which is multiplied by 100 to give a percentage. This is:

<h3>Density</h3>
Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.
In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

<h3>Percentage by mass of a NaCl solution</h3>
In this case, you know:
- mass of solute= 58.5 grams
- volume of water= 50 mL
- density of water= 1

- mass of solution= mass of solute + mass of water
Replacing in the definition of density, you get the mass of water:

Solving:
mass of water= 1
× 50 mL
<u><em>mass of water= 50 grams</em></u>
Then, you get that the mass of solution is calculated as:
mass of solution= mass of solute + mass of water
mass of solution= 58.5 grams + 50 grams
<u><em>mass of solution= 108.5 grams</em></u>
So, the percentage by mass is calculated as:

<u><em>percentage by mass= 53.917%</em></u>
Finally, the percentage by mass of a NaCl solution is 53.917%.
Learn more about percentage by mass:
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density:
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