The C1V1 = C2V2 Formula
Dilution calculations follow the fundamental equation C1 x V1 = C2 x V2, where C1 is the stock concentration, V1 is the volume of stock needed, C2 is the target concentration, and V2 is the total final volume.
Rearranging to solve for the unknown: V1 = (C2 x V2) / C1. This tells you exactly how much concentrated chemical to add. The remaining volume is your diluent (typically deionized water).
Weight/Weight vs Volume/Volume
Volume/volume (v/v) dilution measures both the solute and the final solution by volume. This is common for liquid-liquid mixing and is the simpler method for most industrial applications.
Weight/weight (w/w) dilution measures both by mass. Because chemical density varies significantly (sulfuric acid at 1.84 g/mL vs water at 1.00 g/mL), w/w concentrations can differ substantially from v/v. This calculator accounts for specific gravity to provide both volume and weight results.
For precise laboratory work, w/w is preferred because it is not affected by temperature-related volume changes. For general industrial use, v/v is more practical.
Default on this calculator is v/v. Use the v/v Volume / w/w Weight toggle above if your SOP specifies weight fractions — the math below rebalances using each component's density so both the volume and weight readouts stay internally consistent.