Dilution series final concentration calculator

The Dilution series final concentration calculator computes dilution series final concentration from the relation Cn = C0 / DF^n. It takes 3 inputs (stock concentration in mol/L, dilution factor per step, number of steps) and returns the final concentration in mol/L. These calculators are for chemistry students, laboratory technicians and anyone working through solution preparation, reaction quantities or the properties and structure of a compound, where the result decides how much of a substance to weigh out, what volume to make a solution up to, or what a given set of conditions implies for the substances involved. Enter your values below and the result updates instantly, and you can share a permalink that pre-fills the exact calculation. Get the units consistent before entering anything (moles against grams, mL against L, absolute temperature wherever a gas relationship calls for it), and where your inputs come from measurement, report the answer to the significant figures the least precise of them actually supports rather than every digit displayed. For example, with stock concentration = 1 mol/L, dilution factor per step = 2, number of steps = 4, the final concentration works out to 0.0625 mol/L, and the worked example further down the page shows every step so you can follow the arithmetic and reproduce it by hand. Reference data is from NIST Chemistry WebBook; the relation itself is a standard result of chemistry, and the figure above each result carries the date it was last verified. Many of the relationships here hold only under ideal or well-behaved conditions, so results can depart from bench reality with concentrated solutions, non-ideal gases, incomplete reactions or impure reagents, and no calculated figure replaces careful measurement and safe handling of the chemicals themselves.

With Stock concentration = 1 mol/L, Dilution factor per step = 2, Number of steps = 4, the result is 0.0625 mol/L.

Formula: Cn = C0 / DF^n. Source: NIST Chemistry WebBook, as at 2026-06-22.

Final concentration0.0625 mol/L

Applies to: any numeric inputs. Method source: NIST Chemistry WebBook, checked 2026-06-22.

The formula

Cn = C0 / DF^n

Worked example

With Stock concentration = 1 mol/L, Dilution factor per step = 2, Number of steps = 4:

  1. Cn = C0 / DF^n
  2. Final concentration = 0.0625 mol/L

This worked example is one of the automated golden-value tests this calculator must pass before it can publish.

What this assumes

  • Inputs are real numbers in the units shown.
  • The result is the exact value of Cn = C0 / DF^n; general information, not professional advice.

Frequently asked questions

What formula does this use?

Cn = C0 / DF^n. This is a standard result of chemistry; reference data is from NIST Chemistry WebBook.

Does the result ever change over time?

No. This is a pure formula with no external rate, so the same inputs always give the same result.

Official sources and verification

Reviewed by the CalculatorHub team, edited by James Graham, 2026-06-22. See our methodology. General information, not professional advice.