Final answer:
The appropriate infusion rate is approximately 6.53 gtt/min.
Step-by-step explanation:
To calculate the appropriate infusion rate in gtt/min, we need to follow a series of steps:
- Convert the patient's weight from pounds to kilograms by dividing by 2.205 (since there are 2.205 pounds in 1 kilogram). In this case, the patient weighs 30 lb, so the weight in kilograms is 30 / 2.205 = 13.605 kg.
- Calculate the appropriate dose of the medication by multiplying the patient's weight (in kilograms) by the ordered dose per kilogram. In this case, the dose is 10 mg/kg/dose, so the appropriate dose is 13.605 kg * 10 mg/kg = 136.05 mg.
- Calculate the number of milliliters of medication needed by dividing the dose (in milligrams) by the concentration of the medication. The medication is available as 25 mg/mL, so the number of milliliters needed is 136.05 mg / 25 mg/mL = 5.442 mL.
- Calculate the infusion rate in gtt/min by dividing the number of milliliters needed by the infusion time in minutes and then multiplying by the drip factor of the mini-drip set. The medication is to be infused over 50 minutes using a mini-drip set, so the infusion rate is 5.442 mL / 50 min * 60 gtt/mL = 6.53 gtt/min.
Therefore, the appropriate infusion rate in gtt/min is approximately 6.53.