Solution Dilution Arithmetic Calculator

How the solution dilution arithmetic calculator works

On matching compatible mass-per-volume or molar concentration bases, stock concentration × stock volume = target concentration × final solution volume. Stock litres = target concentration × final litres ÷ positive stock concentration. Dilution factor is stock/target when target is positive.

Target cannot exceed stock in this dilution model. Final solution volume is not the volume of added solvent, and no additive-volume preparation step is inferred. A mass-percent input cannot be silently used in a volume formula without the necessary density/basis conversion. This is nonreactive arithmetic, not medical dosing, hazardous handling or a mixing procedure.

Quantities use the stated units and finite bounded inputs. Whole purchases round up under the documented model; cost components round half-up to cents before totals are summed. Undefined ratios stay unavailable. π and logarithms use normal numeric precision. Display rounding does not alter the entered assumptions.

Worked example

An entered stock concentration of 20 and target of 5 on the same basis, for 10 L final solution, requires 2.5 L stock in this ideal relation. Dilution factor is four. Changing final solution volume to 20 L makes stock quantity 5 L.

Sources and assumptions

The source material explains the underlying calculation or pricing structure. Entered prices, costs, schedules and scenario choices are your assumptions; this tool does not obtain supplier quotes or predict actual results.

• Western Oregon University CH104 Chapter 7: Solutions