In an IV solution with 5 mg of a drug per ml, what is the required infusion rate if the patient needs 100 mg per hour?

To determine the required infusion rate for a patient who needs 100 mg of the drug per hour from an IV solution that contains 5 mg of the drug per ml, you start by calculating how many milliliters of the solution would deliver the necessary dosage.

First, you need to find out how many milliliters you need to administer per hour to achieve the desired dose of 100 mg. This calculation can be set up as follows:

1. Each milliliter of the IV solution contains 5 mg of the drug.

2. To find out how many milliliters you need to get to 100 mg, divide the total desired dosage (100 mg) by the concentration of the drug in the solution (5 mg/ml):

[

\text{Required volume (ml)} = \frac{\text{Desired dose (mg)}}{\text{Concentration (mg/ml)}} = \frac{100 \text{ mg}}{5 \text{ mg/ml}} = 20 \text{ ml}

]

This calculation indicates that 20 ml of the IV solution is required to deliver 100 mg of the drug.

Next, to find the infusion rate to deliver this volume within one hour, you can