Calculate Any Variable in C₁V₁ = C₂V₂ C₁V₁ = C₂V₂

Solve for:

Stock Solution

Final Solution

Diluent to add
Dilution factor

ℹ️ Frequently Asked Questions

What equation does this calculator use?

This calculator uses C₁V₁ = C₂V₂, the conservation-of-mass dilution equation. C₁ is the stock concentration, V₁ is the volume of stock to use, C₂ is the desired final concentration, and V₂ is the desired final volume.

C₁ × V₁ = C₂ × V₂

Can I solve for any variable, not just V₁?

Yes. Click the Solve for button to choose C₁, V₁, C₂, or V₂. The calculator treats the selected variable as unknown and solves using the other three values.

Why are volumes rounded to pipette-friendly values?

Real pipettes have discrete volume increments (e.g., P200 in 1 μL steps, P1000 in 5 μL steps). Rounding to these increments ensures you can actually pipette the calculated volume, reducing experimental error from imprecise pipetting.

What if my C₁ and C₂ units don't match?

C₁ and C₂ must use compatible unit types (both molar-based, both mass-based, etc.). Use the Concentration Converter to convert between unit systems first.

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