How many mL are needed for 2 mg of a 0.1 mg per unit solution?

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Calculation of Volume for 2 mg Dose

To administer 2 mg of medication from a 24 mg vial with a concentration of 0.1 mg per unit, you need 20 mL. 1

Step-by-Step Calculation

  • Given information:

    • 24 mg vial × 2.4 mL = 0.1 mg per unit
    • Desired dose = 2 mg 1
  • First, determine the number of units needed:

    • 2 mg ÷ 0.1 mg/unit = 20 units 1
  • Since each unit equals 1 mL (as per the concentration calculation), the volume needed is 20 mL 1

Verification of Calculation

  • The concentration can be verified as:

    • 24 mg ÷ 2.4 mL = 10 mg/mL
    • 10 mg/mL means 0.1 mg per 0.01 mL
    • Therefore, 1 unit = 0.1 mg = 1 mL 1
  • Double-checking with the dose-volume formula:

    • Volume = Desired dose ÷ Concentration
    • Volume = 2 mg ÷ (0.1 mg/mL) = 20 mL 1

Important Considerations

  • Always verify medication concentration before administration to ensure accurate dosing 1
  • Double-check calculations, especially when working with medications that have critical dosing requirements 1
  • Consider using a calibrated measuring device for precise volume measurement 1

References

Guideline

Guideline Directed Topic Overview

Dr.Oracle Medical Advisory Board & Editors, 2025

Professional Medical Disclaimer

This information is intended for healthcare professionals. Any medical decision-making should rely on clinical judgment and independently verified information. The content provided herein does not replace professional discretion and should be considered supplementary to established clinical guidelines. Healthcare providers should verify all information against primary literature and current practice standards before application in patient care. Dr.Oracle assumes no liability for clinical decisions based on this content.

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