Drug Concentration (mg/mL, units/mL): How to Find and Use It

Shows the work. Every example is computed with the formula and numbered steps. For study and exam practice, not for patient care.

Concentration: The amount of drug in each unit of volume, such as mg/mL or units/mL; for an IV bag, the drug in the bag divided by its volume.

Concentration says how much drug is in a given volume. A vial label may state it directly (“50 mg/mL”), or as an amount per volume (“250 mg/5 mL”). For an IV bag, work it out: divide the drug in the bag by the mL in the bag.

Every volume calculation runs through the concentration:

  • mL to give = ordered dose ÷ concentration
  • mL/hr = ordered dose per hour ÷ concentration
  • dose per hour = mL/hr × concentration

Match units before you divide: a bag labeled in mg with an order in mcg needs a mg-to-mcg conversion first.

Worked exampleFrom pump rate to dose

A heparin infusion of 12,500 units in 250 mL is running at 20 mL/hr. How many units/hr is the client receiving?

Solve for
Dose per hour
Pump rate
20 mL/hr
Drug in the bag
12,500 units
Bag volume
250 mL

Formula mL/hr = ordered units/hr ÷ units per mL.

  1. Concentration = 12,500 units ÷ 250 mL = 50 units/mL.
  2. units/hr = 20 mL/hr × 50 units/mL = 1,000 units/hr.
  3. 1,000 units/hr is exact, so no rounding is needed.

Answer 1,000 units/hr

All glossary terms

Sources

  1. Clinical Calculations: With Applications to General and Specialty Areas — Elsevier (Kee, Marshall, et al.)
  2. Calculate with Confidence — Elsevier (Morris)

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