Question
The physician prescribes Medication \( V 0.2 \mathrm{mg} \) to be given intramuscularly, immediately. The medication label states Medication \( V 400 \mathrm{mcg} / \mathrm{mL} \). How many mL should the nurse prepare to administer the correct dose?
Ask by Harrington Frazier. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The nurse should prepare 0.5 mL to administer the correct dose.
Solution
Step 1: Convert the prescribed dose to the same units as the medication concentration.
• 0.2 mg = 200 mcg
Step 2: Calculate the volume required using the concentration.
• Concentration = 400 mcg/mL
• Volume required = (200 mcg) / (400 mcg/mL) = 0.5 mL
Therefore, the nurse should prepare 0.5 mL to administer the correct dose.
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Simplify this solution Bonus Knowledge
To determine the volume in milliliters that the nurse should prepare, we first convert the prescribed dosage from milligrams to micrograms. Since \(1 \ \text{mg} = 1000 \ \text{mcg}\), the prescribed dose \( V = 0.2 \ \text{mg} \) is equivalent to \( 0.2 \ \text{mg} \times 1000 \ \text{mcg/mg} = 200 \ \text{mcg} \). Now, using the concentration of the medication \(400 \ \text{mcg/mL}\), we can calculate the volume needed: \[ \text{Volume} = \frac{\text{Desired Dose}}{\text{Concentration}} = \frac{200 \ \text{mcg}}{400 \ \text{mcg/mL}} = 0.5 \ \text{mL}. \] So, the nurse should prepare \(0.5 \ \text{mL}\) to administer the correct dose.
