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Sagot :
Answer: The mass of NaCl required to make 140 grams of a 12% solution of NaCl in water is 17 g.
Explanation:
Given: Mass of solution = 140 g
Mass percent = 12%
Formula used to calculate grams of solute are as follows.
[tex]Grams of solute = \frac{grams of solution \times mass percent}{100 percent}[/tex]
Substitute the values into above formula as follows.
[tex]Grams of solute = \frac{grams of solution \times mass percent}{100 percent}\\= \frac{140 g \times 12 percent}{100 percent}\\= 16.8 g\\= 17 g[/tex]
Thus, we can conclude that the mass of NaCl required to make 140 grams of a 12% solution of NaCl in water is 17 g.
Considering the definition of percentage by mass, the correct answer is the third option: 17 grams of NaCl is required to make 140 grams of a 12% solution of NaCl in water.
The Percentage Composition is a measure of the amount of mass that an element occupies in a compound and indicates the percentage by mass of each element that is part of a compound.
This is, 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]
In this case, you know:
- percentage by mass= 12%
- mass of solute= ?
- mass of solution= 140 grams
Replacing:
[tex]12=\frac{mass of solute}{140 grams}x100[/tex]
Solving:
mass of solute= [tex]\frac{12 x 140 grams}{100}[/tex]
mass of solute= 16.8 grams ≅ 17 grams
Finally, the correct answer is the third option: 17 grams of NaCl is required to make 140 grams of a 12% solution of NaCl in water.
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