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Liquid Dosage Calculator (Oral)

X=DH×QX = \frac{D}{H} \times QX=HD​×Q
X equals D divided by H, multiplied by Q, where D is desired dose, H is available dose, and Q is quantity volume

Solution

10 mL

Step-by-Step Solution

Step 1: Convert inputs to common units.

  • D (Desired) = 250 mg = 250 mg
  • H (Have) = 125 mg = 125 mg
  • Q (Quantity) = 5 mL = 5 mL

Step 2: Solve equation.

X = (D / H) × Q

X = (250 / 125) × 5

Result = 10 mL

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How the Liquid Dosage Formula Works

The liquid dosage formula X = (D / H) × Q is the standard method nurses use to calculate the volume of a liquid medication to administer. The label on the medicine bottle states the concentration — the mass of drug contained in a given volume of liquid (e.g., 250 mg per 5 mL).

  • D (Desired) — the dose the prescriber ordered (mass)
  • H (Have) — the dose available per quantity of liquid (mass)
  • Q (Quantity) — the volume of liquid that contains the Have dose
  • X — the volume of liquid to give the patient

P.O. (Latin: per os) means "by mouth" — this calculator covers oral liquid medications including solutions, syrups, and suspensions.

Calculate Liquid Dosage ↑

Worked Example

A provider orders 500 mg of amoxicillin suspension. The pharmacy supplies a bottle labeled 250 mg per 5 mL. How many mL should the nurse administer?

X = (500 mg / 250 mg) × 5 mL = 10 mL

Volume Equivalents

  • 1 teaspoon (tsp) ≈ 5 mL
  • 1 tablespoon (tbsp) ≈ 15 mL
  • 1 L = 1,000 mL

Always use a calibrated oral syringe or medicine cup for accurate measurement — household spoons are not precise enough for medication dosing.

Frequently Asked Questions

How do I calculate liquid medication doses?

Use the formula X = (D / H) × Q. Divide the desired dose by the available dose, then multiply by the quantity (volume). For example, if the order is 500 mg and the bottle reads 250 mg/5 mL, you get (500/250) × 5 = 10 mL.

What is the difference between liquid and tablet dosage calculations?

Both use the same D/H × Q formula. For tablets, Q is the number of tablets per dose unit (usually 1) and the answer is in tablets. For liquids, Q is a volume (e.g., 5 mL) and the answer is in milliliters, teaspoons, or tablespoons.

Can I convert the result to teaspoons?

Yes — use the Result Unit dropdown to display the answer in teaspoons (tsp) or tablespoons (tbsp). One teaspoon is approximately 5 mL. For clinical accuracy, always use a calibrated measuring device rather than household spoons.

Related Calculators

  • Oral Dosage Calculator (Tablets) — Calculate tablet/capsule doses using D/H × Q.
  • Parenteral Dosage Calculator — Calculate injectable drug volumes using D/H × Q.
  • Dosage by Weight Calculator — Calculate weight-based (mg/kg) medication doses.
  • IV Flow Rate Calculator — Calculate IV drip rate in gtt/min and mL/hr.

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Disclaimer: This calculator is intended for educational purposes and to assist with dosage calculations. All results should be independently verified by a qualified healthcare professional before administering any medication. Always follow your facility's policies and the prescriber's orders.