Respuesta :
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.
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]percent by mass=\frac{mass of solute}{mass of solution}x100[/tex]
Mass of ammonium sulfate
In this case, you know:
- mass of ammonium sulfate= ?
- mass of solution= 200 g
- percent by mass= 3.5 %
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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