Taking into account the definition of dilution, to a volume of 500 mL, a solution of 100.0 mL of 2.50 M Sulfuric acid must be diluted to 0.50 M Sulfuric acid.
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 solution, which is accomplished by simply adding more solvent 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:
Ci×Vi = Cf×Vf
where
In this case, you know:
Replacing in the definition of dilution:
2.50 M× 100 mL= 0.50 M× Vf
Solving:
(2.50 M× 100 mL)÷ 0.50 M= Vf
500 mL= Vf
In summary, to a volume of 500 mL, a solution of 100.0 mL of 2.50 M Sulfuric acid must be diluted to 0.50 M Sulfuric acid.
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