You need a morphine infusion at 1 mg/mL but the ampoule is 15 mg/mL. The pump rate is set — now you need the right diluent volume to reach the target concentration.
Stock drawn = Drug required ÷ Stock concentration
Diluent = Final volume − Stock drawn
Example (morphine): 30 mg needed, stock 10 mg/mL, final 30 mLStock = 3 mL · Diluent = 27 mL saline
1 What this calculator does
Calculates how much diluent to add to achieve a target concentration from a stock solution. Used for preparing morphine, heparin, potassium and other drugs that must be diluted before IV administration. Uses the C1V1 = C2V2 dilution formula.
2 Formula & professional reasoning
Diluent to add (mL) = Final volume − Drug volume
Drug volume = (C2 × V2) ÷ C1
Where C1=stock concentration, C2=target concentration, V2=final volume
The C1V1 = C2V2 relationship (stock concentration × stock volume = final concentration × final volume) is the foundation of all dilution calculations. The drug volume is calculated first, then the diluent volume is simply the difference between desired final volume and drug volume. Always prepare in a suitable diluent (0.9% NaCl or 5% Dextrose as directed by the drug monograph).
3 Worked examples
⚠️ Illustrative example only — not clinical or professional instruction.
Drug vol: (1 × 30) ÷ 15 = 2 mL · Diluent: 30 − 2Drug vol: (25 × 50) ÷ 1000 = 1.25 mL · Diluent: 50 − 1.25Drug vol: (0.1 × 100) ÷ 2 = 5 mL · Diluent: 100 − 54 Sanity check
5 Common errors
| Error | Cause | Consequence | Fix |
|---|---|---|---|
| Adding drug to an empty syringe then adding diluent (aeration risk) | Incorrect order of preparation | Micro-air emboli risk; also calculation verification harder | Draw diluent into syringe first, then add the calculated drug volume |
| Calculating diluent as the final volume, not the make-up volume | Confusing final volume with diluent volume | Final concentration higher than intended | Diluent to ADD = Final volume MINUS drug volume — not equal to final volume |
| Using wrong diluent | Defaulting to available diluent without checking | Drug incompatibility, precipitation | Always check the drug monograph (AMH/Micromedex) for the recommended diluent for each drug |
| Skipping two-nurse check for high-alert drugs | Preparation done alone | Dilution errors in morphine, heparin, KCl can be fatal | All high-alert IV preparations require a second independent nurse to verify calculation and preparation |
6 Reference & regulatory links
7 Professional workflow
Common tools used alongside this one: