Dilute 10 M Solution to 0.5 M — Find Final Volume

Starting with 50 mL of a 10 M solution and diluting to 0.5 M requires calculating the final volume using the dilution formula.

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How to use this tool

Enter initial concentration c₁, initial volume v₁, final concentration c₂ and final volume v₂ in the fields above.
Results update instantly as you type — or click Calculate.
Read your final concentration c₂ and the full breakdown beneath it.

High-concentration stock solutions such as 10 M NaOH require significant dilution for safe use; this calculation determines the final diluted volume.

Frequently asked questions

What does 'solvent to add' mean?: It is V₂ − V₁: the volume of pure solvent (usually water) you need to add to the stock to reach the target volume and concentration.
Can C₁V₁ = C₂V₂ be used for concentrating a solution?: Yes — if you evaporate solvent (V₂ < V₁), C₂ > C₁. The solvent to add will be negative, indicating solvent removed.