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C1 → C2 Final Volume Calculator

Calculate the stock volume (V1) and diluent required to make a final total volume (V2) at a target concentration (C2) from a stock concentration (C1).

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Calculator

Enter C1, C2, and the final total volume (V2). This calculates the required stock volume (V1) and the diluent to add (V2 − V1).

Educational use only. Always interpret results in clinical context and verify with local policies.

How It Works

This calculator uses the dilution equation C1 × V1 = C2 × V2. It represents conservation of solute: the amount of drug/solute before dilution equals the amount after dilution.

You enter C1 (stock concentration), C2 (target concentration), and V2 (final total volume). The calculator solves for V1 (stock volume), then calculates diluent as V2 − V1.

Formula

C1 × V1 = C2 × V2
V1 = (C2 × V2) ÷ C1
Diluent = V2 − V1

Worked Examples

Example 1: Stock 10 mg/mL → Target 1 mg/mL, Final volume 50 mL. What stock volume (V1) do you need?

V1 = (C2 × V2) ÷ C1
V1 = (1 × 50) ÷ 10 = 5 mL
Diluent = 50 − 5 = 45 mL
Answer: 5 mL stock + 45 mL diluent = 50 mL at 1 mg/mL

Example 2: Stock 2% → Target 0.5%, Final volume 100 mL. What stock volume (V1) do you need?

V1 = (0.5 × 100) ÷ 2 = 25 mL
Diluent = 100 − 25 = 75 mL
Answer: 25 mL stock + 75 mL diluent

When This Is Used

  • •Preparing a fixed final volume from a concentrated stock
  • •Medication dilution checks for syringes, bags, or bottles
  • •Pharmacy compounding and aseptic preparation workflows

Clinical safety note: Always confirm units, ensure you entered final total volume (V2) (not diluent volume), and follow product instructions and local policy. Use independent double-checks for high-risk medications.

Related Calculators

C1V1 = C2V2

Solve for C1, C2, V1, or V2

Desired Concentration

Dose to final volume

All Dilution Calculators

Full dilutions library

Frequently Asked Questions

Clinical reminder: Always follow local protocols and consult medication information sheets. These examples are for calculation practice only.

References & Further Reading

Credible sources commonly used in healthcare education for dilution and medication calculations.

International Standards

SI Prefixes (milli-, micro-, etc.) PDF

BIPM (Bureau International des Poids et Mesures)

Authoritative reference for metric prefixes used in unit conversions.

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Australia Resources

Drug Calculations PDF

Flinders University – Student Learning Support Service

Shows standard dose/volume methods and worked examples used in healthcare training.

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Finding the Volume Required Web

RMIT Learning Lab (Nursing)

Explains stock strength and volume-required concepts that underpin dilution calculations.

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Tip: If your answer looks wrong, it’s usually a unit mismatch or using diluent volume instead of final total volume (V2).

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