Answer:
0.05 mL/hr.
Step-by-step explanation:
To determine the mL/hr rate to deliver nitroglycerin at 10 mcg/min, calculate the infusion rate based on the given concentration.
Given:
Nitroglycerin concentration: 50 mg in 250 mL D5W (dextrose 5% in water)
Ordered infusion rate: 10 mcg/min
First, convert the concentration of nitroglycerin from milligrams (mg) to micrograms (mcg). Since 1 mg = 1000 mcg, the concentration is 50,000 mcg in 250 mL D5W.
Now, set up a proportion to find the mL/hr rate:
50,000 mcg / 250 mL = 10 mcg / x mL/hr
To solve for x, cross-multiply and divide:
50,000 mcg * x mL/hr = 10 mcg * 250 mL
50,000x = 2,500 mcg/mL
Dividing both sides by 50,000 mcg gives:
x = 2,500 mcg/mL / 50,000 mcg
x = 0.05 mL/hr
Therefore, to deliver nitroglycerin at a rate of 10 mcg/min, the mL/hr rate should be approximately 0.05 mL/hr.