Question

The nurse receives an order for a continuous infusion of neosynephrine at 0.03 m(g)/(m)in. The neosynephrine's concentration is 20 m(g)/(500) mL. How many m(L)/(h) will the nurse infuse the medication?

Answer 1

To find the infusion rate in mL/h for neosynephrine at a dosage of 0.03 mg/min with a concentration of 20 mg/500 mL, unit conversion reveals that the nurse should infuse 45 mL/h.

Step-by-step explanation:

The student has asked how many milliliters per hour (mL/h) a nurse will infuse medication with a prescribed dosage of neosynephrine at 0.03 mg/min when the drug's concentration is 20 mg/500 mL. To solve this, the nurse needs to use unit conversion skills.

First, we'll find out how many milligrams are infused per hour:

0.03 mg/min × 60 min/h = 1.8 mg/h.

Since there are 20 mg of neosynephrine in 500 mL of the solution, we need to find out how many mL correspond to 1.8 mg.

(1.8 mg) ÷ (20 mg) = 0.09

0.09 × 500 mL = 45 mL/h.

Therefore, the nurse will infuse 45 mL/h of neosynephrine to deliver the medication at the ordered dosage of 0.03 mg/min.