What is the hourly rate for an intravenous infusion of 30 mg of an antibiotic in 50 mL of D5W running over 30 minutes?

To determine the hourly rate for the intravenous infusion of 50 mL of D5W containing 30 mg of an antibiotic running over 30 minutes, you need to calculate the rate at which the solution is administered in terms of mL per hour.

Since the infusion is set to run over a period of 30 minutes, you first need to convert this time into hours. There are 60 minutes in an hour, so 30 minutes is equal to 0.5 hours.

Next, to find the hourly rate, you use the formula:

Hourly Rate = Total Volume / Total Time

Here, the total volume is 50 mL, and the total time is 0.5 hours. Substituting these values into the formula gives:

Hourly Rate = 50 mL / 0.5 hours = 100 mL/hr

This means that the infusion is set to deliver 100 mL every hour. Therefore, the correct answer is that the hourly rate of the intravenous infusion is 100 mL/hr.