Considering the definition of percentage by mass and density, the percentage by mass of a NaCl solution is 53.917%.
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:
[tex]percentage by mass= \frac{mass of solute}{mass of solution}x100[/tex]
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:
[tex]density=\frac{mass}{volume}[/tex]
In this case, you know:
Replacing in the definition of density, you get the mass of water:
[tex]1 \frac{g}{mL} =\frac{mass of water}{50 mL}[/tex]
Solving:
mass of water= 1 [tex]\frac{g}{mL}[/tex]× 50 mL
mass of water= 50 grams
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
mass of solution= 108.5 grams
So, the percentage by mass is calculated as:
[tex]percentage by mass= \frac{58.5 grams}{108.5 grams}x100[/tex]
percentage by mass= 53.917%
Finally, the percentage by mass of a NaCl solution is 53.917%.
Learn more about percentage by mass:
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density:
brainly.com/question/952755
brainly.com/question/1462554
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