The Student Room Group
Uni students - Complete our survey >>
Uni students - Complete our survey >>
Uni students - Complete our survey >>

Mathematics

A man who weighs 80kg is to receive an infusion of drug Y at a rate of 2.4 micrograms/kg/minute. If one 20ml vial of drug Y, which contains 10mg/mL, is diluted to 0.8 litres with water, at what rate in mL/min, should the infusion be set?
First calculate the concentration in the diluted drug Y. Then convert mg/mL to mcg/mL. (1 g = 1000 mcg)

10mg/mL x 20 mL / 800 mL = 0.25 mg/mL = 250 mcg/mL.

Then, multiply the rate ordered with the weight, and divide the product by the concentration.

2.4 mcg/kg/min x 80 kg / 250 mcg/mL = 0.768 mL/min.

In doing these calculations, looking at the units might be useful. For example, if the question is to ask for mL/hour, further multiply it by 60:

0.768 mL/min x 60 min/hour = 46.08 mL/hour.

You will see how the units resembled.

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you