Question

the antihistamine, dextromethorphan 10 mg is prescribed q4 hours prn for a child with an upper respiratory infection. the liquid medication is labeled 5 mg/5 ml. how many ml should the nurse prepare for administration? (enter numerical value only. if rounding is required, round to the nearest tenth).

Explanation:

Step1: Determine the concentration

The liquid medication has a concentration of \( 5 \, \text{mg} / 5 \, \text{mL} \), which simplifies to \( 1 \, \text{mg/mL} \) (since \( \frac{5 \, \text{mg}}{5 \, \text{mL}} = 1 \, \text{mg/mL} \)).

Step2: Calculate the volume needed

We need to administer \( 10 \, \text{mg} \) of the medication. Using the formula \( \text{Volume} = \frac{\text{Dose}}{\text{Concentration}} \), we substitute the values: \( \text{Volume} = \frac{10 \, \text{mg}}{1 \, \text{mg/mL}} = 10.0 \, \text{mL} \).

Answer:

10.0