A patient is receiving an IV of esmolol 2.5 grams in 250 mL of D5W (dextrose 5% in water) infusing at 200 micrograms/kilogram/minute. The patient weighs 110 lb. What rate (in mL/hr) should the nurse program into the IV pump to deliver this dose?

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

- The patient's weight in kilograms
- The dose of Principen in milligrams
- The infusion rate in milliliters per hour using the formula: Infusion rate (mL/h) = (Total volume (mL) x Flow factor (gt/mL)) / Time (min) x 60 min/h

First, convert the patient's weight from pounds to kilograms by dividing by 2.2:

22 lb / 2.2 = 10 kg

Next, multiply the patient's weight by the dose of Principen per kilogram to get the total dose in milligrams:

10 kg x 25 mg/kg = 250 mg

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

Infusion rate (mL/h) = (Total volume (mL) x Flow factor (gt/mL)) / Time (min) x 60 min/h

Since the medication is prepared in 50 mL of solution and the infusion time is 30 minutes, plug in these values into the formula:

Infusion rate (mL/h) = (50 mL x 1 gt/mL) / 30 min x 60 min/h

Simplify and solve for the infusion rate:

Infusion rate (mL/h) = 100 mL/h

Therefore, the nurse should administer **100 mL/h** to infuse Principen 250 mg over 30 minutes.

To find the number of capsules of amoxicillin required for 5 days, you need to calculate the following:

- The total dose of amoxicillin in milligrams (mg) for 5 days using the formula: Total dose (mg) = Prescribed dose (mg) x Frequency (times/day) x Duration (days)
- The number of capsules of amoxicillin using the formula: Number of capsules = Total dose (mg) / Strength per capsule (mg)

First, use the formula for total dose to find the amount of amoxicillin in milligrams for 5 days:

Total dose (mg) = Prescribed dose (mg) x Frequency (times/day) x Duration (days)

Since the prescribed dose is 250 mg, the frequency is 3 times per day, and the duration is 5 days, plug in these values into the formula:

Total dose (mg) = 250 mg x 3 times/day x 5 days

Simplify and solve for the total dose:

Total dose (mg) = 3750 mg

Next, use the formula for number of capsules to find how many capsules of amoxicillin are needed:

Number of capsules = Total dose (mg) / Strength per capsule (mg)

Since the total dose is 3750 mg and the strength per capsule is 250 mg, plug in these values into the formula:

Number of capsules = 3750 mg / 250 mg

Simplify and solve for the number of capsules:

Number of capsules = 15

Therefore, the client needs **15 capsules** of amoxicillin for 5 days.