
Considering the definition of percentage by mass, the mass of ammonium sulfate that must be added to prepare 200.0 g of a 3.5% solution of ammonium sulfate in water is 7 g.
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]percent by mass=\frac{mass of solute}{mass of solution}x100[/tex]
In this case, you know:
Replacing in the definition of percent by mass:
[tex]3.5 =\frac{mass of ammonium sulfate}{200 g}x100[/tex]
Solving:
3.5÷100= [tex]\frac{mass of ammonium sulfate}{200 g}[/tex]
0.035= [tex]\frac{mass of ammonium sulfate}{200 g}[/tex]
0.035×200 g= mass of ammonium sulfate
7 g= mass of ammonium sulfate
Finally, the mass of ammonium sulfate that must be added to prepare 200.0 g of a 3.5% solution of ammonium sulfate in water is 7 g.
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