Certainly! Let's solve this step-by-step:
1. Convert the newborn's weight from grams to kilograms:
- The newborn's weight is 3675 grams.
- To convert grams to kilograms, use the conversion factor [tex]\(1 \text{ kilogram} = 1000 \text{ grams}\)[/tex].
- [tex]\[ \text{Weight in kg} = \frac{3675 \text{ grams}}{1000} = 3.675 \text{ kilograms} \][/tex]
2. Calculate the total dosage in milligrams (mg) for the newborn:
- The prescribed dosage is [tex]\(0.03 \text{ mg/kg}\)[/tex].
- Multiply by the newborn's weight in kilograms:
- [tex]\[ \text{Total dosage} = 3.675 \text{ kg} \times 0.03 \text{ mg/kg} = 0.11025 \text{ mg} \][/tex]
3. Determine the dosage per dose:
- The total daily dosage needs to be divided into 3 doses.
- [tex]\[ \text{Dosage per dose} = \frac{0.11025 \text{ mg}}{3} = 0.03675 \text{ mg} \][/tex]
4. Convert the medication concentration from micrograms per milliliter (mcg/mL) to milligrams per milliliter (mg/mL):
- The medication concentration available is [tex]\(100 \text{ mcg/mL}\)[/tex].
- Use the conversion factor [tex]\(1 \text{ mg} = 1000 \text{ mcg}\)[/tex].
- [tex]\[ \text{Concentration in mg/mL} = \frac{100 \text{ mcg/mL}}{1000} = 0.1 \text{ mg/mL} \][/tex]
5. Calculate the volume to administer per dose in milliliters (mL):
- Using the dosage per dose and the concentration of the medication:
- [tex]\[ \text{Volume per dose} = \frac{0.03675 \text{ mg}}{0.1 \text{ mg/mL}} = 0.3675 \text{ mL} \][/tex]
6. Round the result to two decimal places:
- [tex]\[ \text{Volume per dose} \approx 0.37 \text{ mL} \][/tex]
Therefore, the nurse should administer 0.37 mL of the medication to the newborn at each dose.
