Skip to content

Dilution calculator

Make a weaker solution: enter the strength you have, the strength you want, and how much finished solution you need.

Inputs

Processed in your browser.

Original solution + water → your desired concentration and total volume.

A · Original solution

—

Amount of original solution to use

B · Add water

—

Water adds volume, without adding more solute.

C · Finished solution

—

Enter what you want to make

Illustrative beaker size; color compares concentration within a compatible unit family.

Repeat dilution (optional)

Use a decimal point or comma, no grouping. Positive values: 10⁻¹² to 10¹².

Result

Calculate to see the result.

How to use

  1. Original concentration: A.
  2. Desired concentration / Desired total volume: C.
  3. Amount of original solution to use: A. B · Add water: B.

Worked example

To make 100 mL at 1% (1 g per 100 mL) from a 10% stock, use 10 mL of stock and dilute to a final 100 mL. The nominal water/solvent difference is 90 mL.

Limits and interpretation

The equation conserves solute without reaction or loss. V₂ is the final solution volume, not the solvent volume. V₂ − V₁ assumes additive volumes and is a nominal estimate; real mixtures may contract or expand. This is a mathematical guide, not a preparation procedure. % w/v means grams per 100 mL; % v/v means volume per 100 volumes. Mass percent (% w/w) and density-based conversions are not supported.

Frequently asked questions

What volume remains in a serial dilution?

Each step reaches V₂ before the next transfer. Removing V₁ for the next step leaves V₂ − V₁ in that vessel. Only the last vessel retains all V₂. The table lists concentrations, not guaranteed collected volumes.

Can I calculate a stronger solution?

No. Dilution cannot raise concentration. Equal stock and target concentrations are accepted and give factor 1 with zero nominal solvent.

Why reject mixed concentration families?

For example, converting M to g/L requires the solute’s molar mass. This calculator does not guess it. Within a compatible family it converts units before applying the equation.

Sources

OpenStax · Chemistry 2e §3.3