RxMath Lab › Dilution Practice Problems (C₁V₁ = C₂V₂)

Dilution Practice Problems (C₁V₁ = C₂V₂)

Unlimited practice problems with step-by-step worked solutions. Free, no sign-up.

When you dilute a concentrated stock solution, the amount of drug stays constant while the volume increases, so the concentration falls proportionally. The dilution equation lets you solve for whichever variable is unknown, most often the volume of stock solution needed to hit a target concentration.

FormulaC₁ × V₁ = C₂ × V₂  →  V₁ = (C₂ × V₂) ÷ C₁
Worked example

How many mL of a 20% stock are needed to make 120 mL of a 2% solution? V₁ = (2% × 120) ÷ 20% = 12 mL (then QS to 120 mL with diluent).

💡 The drug amount is unchanged by dilution; only concentration and volume change. Remember to QS to the final volume when the question asks for it.

Streak 0
Correct 0/0
Premium is coming

Timed NAPLEX-style mock exams, saved progress, per-topic accuracy analytics, and weak-spot drills. The unlimited free practice you're using now stays free. Join the waitlist to get launch pricing when it ships.

One email when it launches. No spam, ever.

Practice another topic
Percentage & Ratio StrengthAlligationMilliequivalent (mEq), Millimole & MilliosmoleIV Infusion & Drip RateBody Surface Area (BSA) & Chemo DosingTPN & Nutrition CalculationIsotonicity & E-ValueCreatinine Clearance (Cockcroft-Gault)PharmacokineticsBioavailability (F)Insulin Day Supply & SwitchingOpioid Conversion & MMEDays Supply CalculationWeight-Based (mg/kg) DosingReconstitution & Powder VolumeSpecific GravityClinical Lab Calculation