Clinical utility

Dilution calculator

Solve C₁V₁ = C₂V₂ for a dilution using one shared concentration unit and mL volumes.

Preparation arithmetic only. This tool does not select a drug, dose, diluent, preparation method, or administration plan.
Formula reference

C₁V₁ = C₂V₂

Leave the selected calculated value blank and enter the other 3 values. C₁ and C₂ must use the same selected concentration unit; volumes are mL.

V₂ − V₁ = diluent volume to add.

Supports mg/mL, % w/v, mEq/mL, and IU/mL. It does not convert between units or support concentration-increasing preparations.

Safety checks
  • This tool supports calculation and education only.
  • It does not diagnose, prescribe, or replace current clinical references.
  • Verify all calculations before preparation and administration.
  • Use the same selected concentration unit for C₁ and C₂; volumes are mL.
  • Confirm product, diluent, solubility, compatibility, stability, sterility, and labeling before preparation.
Basis and limits
  • Formula: C₁V₁ = C₂V₂ (conservation of mass in dilution).
  • Units: one selected concentration unit for C₁/C₂ (mg/mL, % w/v, mEq/mL, or IU/mL); volumes are mL. This tool does not convert units.
  • Diluent volume: V₂ − V₁ gives the volume of diluent to add to the stock solution.
  • Scope: dilution arithmetic only. Final concentration cannot exceed stock concentration and final volume cannot be less than stock volume. Does not account for volume contraction, chemical incompatibility, osmolarity, or a clinical preparation plan.
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