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Science & Engineering

Dilution Calculator

Solve the dilution equation C₁V₁ = C₂V₂ for any missing value, with the solvent volume to add and the dilution factor.

Your inputs

Results

V1 =

0.25

Solvent to add (V₂ − V₁)
0.75
Dilution factor
4 ×

✓Exact calculation — rounded only for display

Notes for this result

  • Use the same units for both concentrations and both volumes.

What this calculator does

When diluting a stock solution, the amount of solute stays the same.

Formula and method

C₁ × V₁ = C₂ × V₂; solvent to add = V₂ − V₁

Worked example

Calculated by this tool with its default inputs:

Inputs

  • Stock concentration C₁: 2
  • Stock volume V₁:
  • Final concentration C₂: 0.5
  • Final volume V₂: 1

Results

  • V1 =: 0.25
  • Solvent to add (V₂ − V₁): 0.75
  • Dilution factor: 4 ×

How to read the results

A dilution factor of 4 means the final solution is one-quarter as concentrated.

Assumptions and limitations

  • Use the same units on both sides.

These are educational estimates. Electrical, structural and other safety-critical work must comply with local codes and be designed or checked by a qualified professional.

Questions

Can I concentrate a solution this way?

No — dilution only lowers concentration.

Methodology and verification

Result type
Exact mathematical calculation (rounded only for display)
Formula version
1.0
Automated verification
4 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
Editorial review
Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.

Privacy

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