Volume to administer equals Desired dose divided by Have dose multiplied by Quantity
Injectable Volume =
Desired (mg)
75
Have (mg)
100
Quantity (mL)
2
Step-by-Step Solution
Step 1: Convert inputs to common units.
D (Desired) = 75 mg = 75 mg
H (Have) = 100 mg = 100 mg
Q (Quantity) = 2 mL = 2 mL
Step 2: Solve equation.
X = (D / H) × Q
X = (75 / 100 mg) × 2 mL
Result = Injectable Volume = 1.5 mL
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Parenteral Dosage Formula (D/H × Q)
Calculates the volume to draw up in a syringe for injectable drug administration. D is the desired dose, H is the dose available per vial unit, and Q is the volume containing H.
X (mL) = (D / H) × Q
How It Works
Enter the desired dose, the concentration on the medication vial (Have dose per volume), and the volume containing that dose. The calculator converts units if needed, divides D by H, multiplies by Q, and returns the injectable volume in milliliters.
Example Problem
Order: 250 mg of a drug IM. Available: 500 mg per 2 mL. Calculate the volume to inject.
Identify D = 250 mg, H = 500 mg, Q = 2 mL
Apply the formula: X = (250 / 500) × 2
X = 0.5 × 2 = 1 mL
Verify the calculated volume does not exceed the maximum for the injection site (e.g., 3 mL for ventrogluteal, 1 mL for deltoid).
Key Concepts
Parenteral routes include intravenous (IV), intramuscular (IM), subcutaneous (SubQ), and intradermal (ID). Each route has maximum volume limits and specific site considerations. The D and H must be in the same mass unit before calculation.
Applications
IM injection volume calculation for antibiotics
Subcutaneous insulin and heparin dose verification
IV push medication volume preparation
Pre-operative medication preparation
Emergency drug dose calculations
Common Mistakes
Using different mass units for D and H without converting
Exceeding the maximum injectable volume for the chosen site
Drawing up air instead of removing it from the syringe
Not verifying the drug concentration on the vial matches the H value entered
Frequently Asked Questions
What does D/H × Q mean?
D is the Desired dose (what the doctor ordered), H is the Have dose (the amount of drug per unit on the vial), and Q is the Quantity (the volume that contains H). This formula gives you the volume to draw up and administer.
How do I handle different units for D and H?
The Desired and Have doses must be in the same units before applying the formula. This calculator automatically converts between mg, g, and mcg so you can enter values in whichever unit they are prescribed or labeled.
What is the maximum volume for an intramuscular (IM) injection?
The maximum volume depends on the injection site and patient size. For adults, the ventrogluteal site can accommodate up to 3 mL, the vastus lateralis up to 3 mL, and the deltoid up to 1 mL. For pediatric patients, volumes are smaller. If the calculated volume exceeds the site limit, consult the prescriber about splitting the dose into two injections.
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Disclaimer: This calculator is intended for educational purposes and to assist with parenteral dosage calculations. All results should be independently verified by a qualified healthcare professional. Always follow your facility's policies.