Dilution Calculator

Dilution reduces concentration by adding solvent while keeping the amount of solute the same. The common relationship C1V1 = C2V2 expresses that conservation: initial concentration times the volume taken from the stock equals final concentration times final volume.

This equation is simple because it assumes the solute amount is unchanged. If a reaction, evaporation, precipitation, adsorption, or degradation occurs, ordinary dilution math no longer describes the system. The equation applies when the operation is truly mixing and volume adjustment.

A stock solution is a concentrated solution prepared for later dilution. Stocks save time, improve consistency, and reduce weighing of tiny masses. To make a working solution, a measured volume of stock is transferred and solvent is added until the final volume is reached.

The final volume is the volume of the entire solution, not the amount of solvent added. If 10 mL of stock is diluted to 100 mL, the solvent added is approximately 90 mL, not 100 mL. This distinction matters in lab protocols and manufacturing recipes.

Serial dilution performs repeated dilution steps, often by the same factor each time. This is useful when a very large dilution would be inaccurate or inconvenient in one step. Microbiology, analytical chemistry, pharmacology, and calibration workflows often use serial dilutions to span wide concentration ranges.

Errors can compound across steps. Pipetting precision, mixing completeness, carryover, and labeling discipline all matter. A serial dilution table should make each transfer and final volume explicit so the cumulative dilution factor is traceable.

Dilution accuracy depends on calibrated glassware, temperature, clean technique, and compatible units. Percent solutions, molarity, mass concentration, and ratios can all describe concentration, but they are not interchangeable without conversion.

Safety can also depend on dilution order. For strong acids, the standard rule is to add acid to water, not water to acid, because dilution can release heat. Concentration math tells you how much to mix; chemical safety tells you how to mix it.