Respuesta :
Considering the definition of percentage by mass and density, the percentage by mass of a NaCl solution is 53.917%.
Percentage by mass
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
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]
Percentage by mass of a NaCl solution
In this case, you know:
- mass of solute= 58.5 grams
- volume of water= 50 mL
- density of water= 1 [tex]\frac{g}{mL}[/tex]
- mass of solution= mass of solute + mass of water
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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