Principles of Biomedical Technology (Principles of Biomedical Science)
Unit 3: Unit 3.2 Emergency ResponsePBS 3.2Handling, Preparation, Storage and Disposal

Calculate A Dose

Apply emergency or public-health rules to calculate a dose.

Builds on (2 levels back)inferred · high confidence
  • Read a protocol: Emergency decisions must follow the stated rule in order.
  • Balance benefit and risk: Interventions should help while minimizing harm.

Prerequisites are inferred: pending teacher review.

Re-learn the skill with worked practice and clear examples.

Use Volume = Dose / Concentration with new numbers. Keep the ordered dose on top and the concentration on the bottom.

Step 1: Identify dose and concentration
The order gives the dose in mg; the label gives the concentration in mg/mL.
QuantitySymbolUnit
Dose orderedDmg
Concentration on handCmg/mL
Volume to giveV = D / CmL
Dose calculation reference: volume equals dose divided by concentration, with units
Step 2: Set up the division
Volume = Dose / Concentration. Write the dose over the concentration.
Step 3: Compute and label
Divide, then write mL on the answer because the mg units cancel.
Practice

An order calls for 150 mg of a medication. The vial is labeled 50 mg/mL. Using Volume = Dose / Concentration, how many mL should be given?

Reviewed
QuantitySymbolUnit
Dose orderedDmg
Concentration on handCmg/mL
Volume to giveV = D / CmL
Dose calculation reference: volume equals dose divided by concentration, with units
  1. A.3 mL
  2. B.2 mL
  3. C.100 mL
  4. D.7500 mL
Show the worked solution ▾

Answer: A. 3 mL

  1. Step 1: Plug in: Volume = 150 mg / 50 mg/mL.
  2. Step 2: Divide: 150 / 50 = 3, so the volume is 3 mL.

Why it's right: 150 mg divided by 50 mg/mL equals 3 mL.

Why the others miss:
  • B: 2 mL would be 100/50; this order is 150 mg, not 100 mg.
  • C: 100 mL comes from subtracting (150 - 50) instead of dividing.
  • D: 7500 mL comes from multiplying 150 by 50 instead of dividing.

Aligned to Handling, Preparation, Storage and Disposal · reading level ~grade 9

Where you'd see this
  • A nurse computes 3 mL from a 150 mg order of a 50 mg/mL drug before drawing it up.
Video library
Watch: Calculate A Dose
Medical Math Hidden Lifesaver
Manuel Mendoza
Guided notes

Fill these in as you work through the lesson.

Big idea: To calculate a liquid dose, divide the ordered dose (mg) by the concentration (mg/mL) to get the volume (mL); convert units first if they do not match.
Key terms: write the meaning
  • Dose (amount of drug ordered, in mg):  
  • Concentration (mg of drug per mL of liquid):  
  • Volume (how many mL to give):  
  • Unit conversion (1 g = 1000 mg):  
The rule

Volume (mL) =   (mg) divided by   (mg/mL); if the order is in grams, first convert using 1 g =   mg.

Check yourself
  1. What is the ordered dose, and in what unit? 
  2. What is the concentration on the label? 
  3. Do the units match, or do you need to convert grams to mg first? 
Work one example

Order: 200 mg. Vial: 100 mg/mL. Volume = 200 / 100 = 2 mL.