Final answer:
To determine the required infusion rate, the nurse calculates the dosage in mg/min for the client's weight and then converts this to the corresponding volume using the concentration of the dopamine solution. The nurse should set the IV pump to 14.0625 mL/hr.
Step-by-step explanation:
A nurse is preparing to administer dopamine 5 mcg/ kg/min by continuous IV infusion to a client who weighs 75 kg. The amount available is dopamine 800 mg/500 mL. To determine the infusion rate in mL/hr, we need to calculate the dosage in mg/min first, then convert this dose to the corresponding volume using the concentration of the solution.
The client's dosage is 5 mcg/kg/min. Since 1 mg = 1000 mcg, we convert 5 mcg to mg:
5 mcg = 0.005 mg
Then, we calculate the dose in mg for the client's weight:
0.005 mg/kg/min * 75 kg = 0.375 mg/min
Now that we have the dosage, let's determine the volume for the infusion pump. We have an 800 mg dopamine in 500 mL, hence:
800 mg dopamine is in 500 mL
Therefore, 1 mg dopamine is in (500 mL / 800 mg)
Finally, we calculate the volume for 0.375 mg dose:
(500 mL / 800 mg) * 0.375 mg/min = 0.234375 mL/min
To get the rate in mL/hr, we multiply by 60 minutes:
0.234375 mL/min * 60 min/hr = 14.0625 mL/hr.
The nurse should set the IV pump to deliver 14.0625 mL/hr.