What is the mL/hr infusion rate for a medication at 10 units/kg/hour for a 50 kg client with a concentration of 50,000 units per 1000 mL?

To determine the mL/hr infusion rate for the medication, we begin by calculating the total dosage needed for the 50 kg client at a rate of 10 units/kg/hour.

First, we find the total units required per hour:

• 10 units/kg/hour × 50 kg = 500 units/hour.

Next, we need to know how many mL of the solution will provide these 500 units. The solution has a concentration of 50,000 units in 1,000 mL. Therefore, we can calculate how many units are in 1 mL:

• 50,000 units / 1,000 mL = 50 units/mL.

Now, we can calculate the volume in mL needed to deliver 500 units:

• 500 units ÷ 50 units/mL = 10 mL.

Since this is the dosage required per hour, the infusion rate needed is 10 mL/hr. Thus, the correct infusion rate for the medication is 10 mL/hr.