Taking into account the definition of dilution, 227.5 mL of the 0.20 M solution is needed to prepare 455 mL of the diluted NaOH.
<h3>What is Dilution</h3>
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
- Ci: initial concentration
- Vi: initial volume
- Cf: final concentration
- Vf: final volume
<h3>Initial volume</h3>
In this case, you know:
- Ci= 0.20 M
- Vi= ?
- Cf= 0.10 M
- Vf= 455 mL
Replacing in the definition of dilution:
0.20 M× Vi= 0.10 M× 455 mL
Solving:
(0.10 M× 455 mL)÷ 0.20 M= Vi
<u><em>227.5 mL= Vi</em></u>
In summary, 227.5 mL of the 0.20 M solution is needed to prepare 455 mL of the diluted NaOH.
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