Question

The standard concentration of nitroglycerin is 25 mg/250 mL. A patient receives 200 mcg/min as an IV infusion. How many mL of the nitroglycerin solution has the patient received in 1.5 hours?

Answer 1

To find out how many mL of nitroglycerin solution the patient has received in 1.5 hours, convert the time to minutes, calculate the total dose in micrograms, convert it to milligrams, and set up a proportion with the standard concentration to solve for the volume. The patient has received 180 mL of the solution.

Step-by-step explanation:

To determine how many mL of the nitroglycerin solution the patient has received in 1.5 hours, we need to perform a series of unit conversions and calculations. We have the following information:

• The standard concentration of nitroglycerin is 25 mg/250 mL.
• The patient receives 200 mcg/min as an IV infusion.
• 1.5 hours is the duration of the infusion.

Firstly, we need to convert hours into minutes to find the total infusion time in minutes:

1.5 hours x 60 minutes/hour = 90 minutes

Next, we calculate the total amount of nitroglycerin the patient receives in 90 minutes:

200 mcg/min x 90 minutes = 18,000 mcg

Now, we convert micrograms (mcg) into milligrams (mg) since our standard concentration is in mg:

18,000 mcg x (1 mg / 1,000 mcg) = 18 mg

Given the standard concentration, we can set up a proportion to find the volume of solution (V) administered:

(25 mg / 250 mL) = (18 mg / V)

Cross-multiply and solve for V:

V = (18 mg x 250 mL) / 25 mg = 180 mL

Therefore, the patient has received 180 mL of the nitroglycerin solution in 1.5 hours.