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Dilution calculator (C₁V₁ = C₂V₂)

Dilute a stock solution to a target concentration in a target volume. Enter stock concentration, target concentration, and target volume — the calculator returns the stock volume to add.

Stock volume V₁

10.000 mL

Diluent to add

90.000 mL

Worked example

Diluting a 1 M Tris stock to 100 mM in 500 mL: V₁ = (0.1 × 500) ÷ 1 = 50 mL. Add 50 mL of stock + 450 mL of diluent.

FAQ

How do I use C₁V₁ = C₂V₂?

Solve for the unknown. To dilute a stock to a target concentration in a target volume, V₁ = (C₂ × V₂) / C₁. Add (V₂ − V₁) of diluent.

Does this calculator handle serial dilutions?

Single-step only. For serial dilutions, apply C₁V₁=C₂V₂ at each step using the previous step's output as the new C₁.

Can I use any units?

Yes, as long as both concentrations share the same unit and both volumes share the same unit. The calculator displays mL by default.

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