If you needed to make 100 mL of a 0.2 M fruit drink solution from the 1.0 M fruit drink solution, you need to add more solvent of 500 mL.
What is dilution?
When it is desired to prepare a less concentrated solution from a more concentrated one, it is called dilution.
Dilution is the process of reducing the concentration of solute in a solution, which is accomplished by simply adding more solvents to the solution at the same amount of solute.
In a dilution, the amount of solute does not change, but as more solvent is added, the concentration of the solute decreases, as the volume (and weight) of the solution increases.
A dilution is mathematically expressed as:
[tex]M_1[/tex]×[tex]V_1[/tex] = [tex]M_2[/tex]× [tex]V_2[/tex]
where
[tex]M_1[/tex]: initial concentration
[tex]V_1[/tex]: initial volume
[tex]M_2[/tex]: final concentration
[tex]V_2[/tex]: final volume
Final volume
In this case, you know:
[tex]M_1[/tex]= 1 M
[tex]V_1[/tex]= 100 mL
[tex]M_2[/tex]= 0.2 M
[tex]V_2[/tex]= ?
Replacing in the definition of dilution:
1 M× 100 mL= 0.2 M× [tex]V_2[/tex]
Solving:
(1 M× 100 mL)÷ 0.2 M= [tex]V_2[/tex]
500 mL=[tex]V_2[/tex]
Hence, the final volume is 500 mL.
Learn more about dilution:
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