Final answer:
The flow rate of the IVPB containing 150 ml of gentamicin over a 2-hour period is 19 drops per minute.
Step-by-step explanation:
To determine the flow rate of an IVPB (intravenous piggyback) containing 150 ml of gentamicin over a 2-hour period, we need to calculate the number of drops per minute. First, we convert the infusion time from hours to minutes by multiplying by 60: 2 hours * 60 minutes/hour = 120 minutes. Then, we calculate the total number of drops needed by multiplying the volume of the solution (150 ml) by the number of drops per ml (15 drops/ml): 150 ml * 15 drops/ml = 2250 drops. Finally, we divide the total number of drops by the infusion time in minutes: 2250 drops / 120 minutes = 18.75 drops per minute. Since we can't have fractional drops, we round up to the nearest whole number, which is 19 drops per minute.