Solutions & titration · SL/HL
Dilution
Solve the dilution relationship for one unknown.
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Number formats & units
Use decimal dots in datasets. Single values also accept decimal commas and scientific notation such as 1.2e-3 or 1.2 × 10⁻³.
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Result & working
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Formula & example
The relationship
What the variables mean
| Symbol | Meaning |
|---|---|
| Concentration and volume of transferred stock solution. | |
| Concentration and total volume after dilution. |
Worked example
- Solve for
- Aliquot volume V₁
- Stock concentration C₁ / mol dm⁻³
- 1.00
- Final concentration C₂ / mol dm⁻³
- 0.100
- Final volume V₂
- 250
- Volume unit
- cm³
25 cm³
Follow the example steps
- V₁ = C₂V₂/C₁ = 0.1 × 250 / 1 = 25 cm³
Common mistakes
The final volume includes the transferred stock solution.
Incorrect approach
10 cm³ + 90 cm³: V₂ = 90 cm³
Correct approach
V₂ = 100 cm³; C₂ = C₁ × 10/100 = 0.1C₁
More checks before you submit
- V₂ is the final total solution volume, not the volume of solvent added.
Method notes
The relationship follows from n = CV when the amount of solute transferred is unchanged.