Question

A syringe pump is delivering 2.5 mL/hour of noradrenaline with a

concentration of 160 mcg/mL to a patient weighing 75 kg. What rate
is being delivered in mcg/kg/min?

Answer 1

To calculate the rate of noradrenaline being delivered in mcg/kg/min, multiply the volume per hour by the concentration to get mcg/hour, then divide by 60 to get mcg/minute, and lastly divide by the patient's weight in kg.

Step-by-step explanation:

To calculate the rate of noradrenaline being delivered in mcg/kg/min, we need to follow these steps:

• First, calculate the total mcg of noradrenaline delivered per hour. Since the syringe pump is delivering 2.5 mL/hour and the concentration is 160 mcg/mL, the total mcg per hour is 2.5 mL/hour * 160 mcg/mL = 400 mcg/hour.
• Next, convert the hourly rate to a per-minute rate by dividing by 60 minutes: 400 mcg/hour / 60 minutes/hour = 6.67 mcg/minute.
• Finally, to find the mcg/kg/min, divide the per-minute rate by the patient's weight in kg: 6.67 mcg/minute / 75 kg = 0.089 mcg/kg/min.

Therefore, the rate being delivered is 0.089 mcg/kg/min.

Answer 2

To calculate the noradrenaline delivery rate, first find the total mcg/hour based on the flow rate and concentration. Then, convert this to mcg/min, and finally, divide by the patient's weight in kg to get the dosage in mcg/kg/min, which is approximately 0.0889 mcg/kg/min for a 75 kg patient.

Step-by-step explanation:

The question pertains to the calculation of drug dosage based on given parameters of drug concentration, flow rate, and patient body weight. To find the rate of noradrenaline being delivered in micrograms per kilogram per minute (mcg/kg/min), we need to use the provided information about the syringe pump delivery rate and drug concentration.

First, we calculate the total micrograms of noradrenaline delivered per hour by multiplying the concentration by the flow rate:

Total mcg/hour = 2.5 mL/hour × 160 mcg/mL = 400 mcg/hour

Then, we convert this to mcg/min by dividing by 60:

Total mcg/min = 400 mcg/hour ÷ 60 min/hour = 6.67 mcg/min

Next, we calculate the dosage per kilogram of patient weight:

Dosage in mcg/kg/min = 6.67 mcg/min ÷ 75 kg = 0.0889 mcg/kg/min

Thus, the rate at which noradrenaline is being delivered to a 75 kg patient is approximately 0.0889 mcg/kg/min.