Question

nurse preparing to administer 4mg/min via IV infusion. Available is 1g in 500ml water. RN should set IV to deliver how many ml/hr?

Answer 1

To administer 4mg/min of medication from a solution of 1g in 500ml water, the nurse should set the IV to deliver 120ml/hr.

Step-by-step explanation:

The subject of this question pertains to mathematics, specifically to the important skill of unit conversion applied in a medical context. The question involves determining the rate at which an IV (intravenous) should be administered given a specific drug concentration and desired dosing rate.

Consider the following information:

• A nurse is preparing to administer a medication at a rate of 4mg/min via IV infusion.
• The medication is available at a concentration of 1g in 500ml of water.

To solve this, we need to perform several conversions:

1. Convert grams to milligrams (since 1g = 1000mg).
2. Calculate the total amount of medication in milligrams (1g = 1000mg).
3. Determine the total volume of medication in milliliters that need to be delivered per minute to achieve the 4mg/min infusion rate.
4. Convert the infusion rate per minute to an infusion rate per hour, as IV pumps are typically calibrated in mL/hr.

Now applying these steps:

1. The 1g dose available is equivalent to 1000mg.
2. Therefore, the 500ml solution contains 1000mg of the medication.
3. To find out how much volume will yield 4mg, we establish a ratio: (4mg) / (1000mg) = (x ml) / (500ml).
4. By solving for x, we get x = (4mg * 500ml) / 1000mg = 2ml.
5. Since we are looking for ml/hr, multiply the 2ml/min by 60 minutes to get the hourly rate: 120ml/hr.

Therefore, the nurse should set the IV to deliver 120ml/hr to administer 4mg/min of the medication.