Final answer:
To determine the appropriate lidocaine infusion rate for the patient, we first convert the patient's weight to kilograms, calculate the dosage in micrograms per minute, convert that to milligrams, then use the medication's concentration to find the rate in milliliters per minute, and lastly convert it to milliliters per hour. The patient will be given 60.84 ml/hr.
Step-by-step explanation:
Calculating IV Infusion Dosage for Lidocaine
The question involves calculating the IV infusion rate of lidocaine for a patient, given the dosage, patient's weight, and medication concentration. To solve this, first, we must convert the patient's weight from pounds to kilograms, as medical dosages are commonly calculated in kilograms. Then, we use the formula to find the dosage in micrograms per minute and finally, convert this dosage to the appropriate infusion rate in milliliters per hour using the supplied concentration. Here is the step-by-step calculation:
- Convert the patient's weight from pounds to kilograms: 298 lbs × (1 kg / 2.2046 lbs) ≈ 135.2 kg.
- Calculate the dosage in micrograms per minute: 30 mcg/kg/min × 135.2 kg = 4056 mcg/min.
- Convert micrograms to milligrams: 4056 mcg/min × (1 mg / 1000 mcg) = 4.056 mg/min.
- Since the vial is 4 mg/ml, we find the rate in ml/min: 4.056 mg/min ÷ (4 mg/ml) = 1.014 ml/min.
- Finally, convert ml/min to ml/hr: 1.014 ml/min × (60 min / 1 hr) = 60.84 ml/hr.
The patient should be administered 60.84 ml/hr of the lidocaine infusion at the concentration provided.