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Laboratory · Tools
Solve C1V1 = C2V2 for stock volume, final concentration or final volume.
C₁V₁ = C₂V₂
C1V1 = C2V2
Stock volume required
5.000mL
V1 = C2 V2 / C1 = (50 x 100) / 1000 = 5.000 mL
C1V1 = C2V2 assumes volumes are additive and the diluent contributes none of the analyte. For concentrated solutions, volume contraction on mixing makes that assumption imperfect; make up to a final volume in a volumetric flask rather than adding a calculated volume of diluent.
Diluting a stock solution conserves the amount of solute, so the product of concentration and volume is the same before and after. That single relationship, C1V1 = C2V2, answers every standard dilution question once you choose which term is unknown.
For accurate work, make up to the final volume in a volumetric flask rather than adding a calculated volume of diluent, since volumes are not perfectly additive.