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A 500mL IV infusion contains 10 mg% of isoproterenol HCl. At what flow rate, in drops per minute, should the infusion be administered to provide 50 micrograms of isoproterenol HCl per minute and the drip set delivers 50 drops/mL?

Question

A 500mL IV infusion contains 10 mg% of isoproterenol HCl. At what flow rate, in drops per minute, should the infusion be administered to provide 50 micrograms of isoproterenol HCl per minute and the drip set delivers 50 drops/mL?

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Solution

Step 1: Convert the concentration of isoproterenol HCl from mg% to micrograms/mL.

1 mg = 1000 micrograms, so 10 mg% = 10 mg/100 mL = 10000 micrograms/100 mL = 100 micrograms/mL.

Step 2: Calculate the volume of the solution needed to provide 50 micrograms of isoproterenol HCl.

If 100 micrograms is in 1 mL, then 50 micrograms is in 50/100 = 0.5 mL.

Step 3: Calculate the flow rate in drops per minute.

If the drip set delivers 50 drops/mL, then 0.5 mL will be delivered in 0.5 * 50 = 25 drops.

So, the infusion should be administered at a flow rate of 25 drops per minute to provide 50 micrograms of isoproterenol HCl per minute.

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