A nurse has to administer IV ampicillin every 6 hours to a child who weighs 10.4 kg. The prescribed dose is 150 mg/kg/day.
What is the amount of ampicillin in one dose?

To find the amount of solution to draw for one dose, you need to calculate the following:

- The body surface area (BSA) of the client in square meters (m²) using the formula: BSA (m²) = √(Height (cm) x Weight (kg) / 3600)
- The dose of allopurinol in milligrams (mg) using the formula: Dose (mg) = BSA (m²) x Prescribed dose
(mg/m²)
- The volume of solution in milliliters (mL) using the formula: Volume (mL) = Dose (mg) / Concentration (mg/mL)

First, use the formula for BSA to find the client's body surface area in square meters:

BSA (m²) = √(Height (cm) x Weight (kg) / 3600)

Since the client's height is 148 cm and weight is 55 kg, plug in these values into the formula:

BSA (m²) = √(148 cm x 55 kg / 3600)

Simplify and solve for the BSA:

BSA (m²) = 1.41 m²

Next, use the formula for dose to find the amount of allopurinol in milligrams:

Dose (mg) = BSA (m²) x Prescribed dose (mg/m²)

Since the client's BSA is 1.41 m² and the prescribed dose is 115 mg/m², plug in these values into the formula:

Dose (mg) = 1.41 m² x 115 mg/m²

Simplify and solve for the dose:

Dose (mg) = 162.15 mg

Then, use the formula for volume to find the amount of solution in milliliters:

Volume (mL) = Dose (mg) / Concentration (mg/mL)

Since the dose is 162.15 mg and the concentration is 25 mg/mL, plug in these values into the formula:

Volume (mL) = 162.15 mg / 25 mg/mL

Simplify and solve for the volume:

Volume (mL) = 6.486 mL

Therefore, the nurse should draw **6.486 mL** of solution for one dose of allopurinol.

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.