A healthcare provider orders nitroprusside (100 mg/1 mL) 3 mcg/kg/minute for a patient weighing 154 lb. What rate (mL/hr) should the nurse program into the IV pump?

To find the answer, we need to convert the units of the medication order and the infusion rate to the same units. We can use the following conversions:

1 mcg = 0.001 mg 1 kg = 1000 g 1 min = 60 s 1 h = 3600 s

The medication order is 140 mcg/kg/min, which means the patient needs 140 mcg of medication per kilogram of body weight per minute. The patient weighs 60 kg, so we multiply 140 mcg by 60 kg to get the total amount of medication per minute:

140 mcg/kg/min x 60 kg = 8400 mcg/min

We then convert this to milligrams by dividing by 1000:

8400 mcg/min / 1000 = 8.4 mg/min

The infusion rate is 10 mL/h, which means the patient receives 10 mL of fluid per hour. We convert this to minutes by dividing by 60:

10 mL/h / 60 = 0.167 mL/min

We can now find the concentration of the medication in the fluid by dividing the amount of medication per minute by the amount of fluid per minute:

8.4 mg/min / 0.167 mL/min = 50.3 mg/mL

This means that for every milliliter of fluid, there are 50.3 milligrams of medication. To find how many milligrams of medication are in one hour, we multiply the concentration by the infusion rate:

50.3 mg/mL x 10 mL/h = 503 mg/h

This is the total amount of medication that the patient receives in one hour. To find how many milligrams are in one dose, we divide this by the number of doses per hour, which is one:

503 mg/h / 1 dose/h = 503 mg/dose

This is the final answer, but we need to round it to the nearest tenth, as per the instructions: 503 mg/dose ≈ 67.2 mg/dose

To find the milliliters per minute, you need to calculate the following:

- The volume of Lopressor in milliliters
- The infusion rate in milliliters per minute using the formula: Infusion rate (mL/min) = Total volume (mL) / Time (min)

First, divide the dose of Lopressor by the concentration to get the volume in milliliters:

5 mg / 1 mg/mL = 5 mL

Next, use the formula for infusion rate to find how many milliliters per minute the IV pump should deliver:

Infusion rate (mL/min) = Total volume (mL) / Time (min)

Since the total volume is 5 mL and the time is 60 seconds or 1 minute, plug in these values into the formula:

Infusion rate (mL/min) = 5 mL / 1 min

Simplify and solve for the infusion rate:

Infusion rate (mL/min) = 5 mL/min

Therefore, the nurse should administer **5 mL/min** to infuse Lopressor 5 mg over 60 seconds.