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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?

A.

390 mg

B.

27 mg

C.

1560 mg

D.

260 mg

Answer and Explanation

The Correct Answer is A

The amount of ampicillin in one dose is 390 mg.
 
This answer is correct because it is based on a series of multiplication and division calculations. The nurse should follow these steps to determine the amount of ampicillin in one dose:

1) Multiply the prescribed dose per kilogram per day by the child's weight in kilograms to get the total dose per day in milligrams, as follows:

150 mg/kg/day x 10.4 kg = 1560 mg/day

Therefore, the child needs 1560 mg of ampicillin per day.

2) Divide the total dose per day by the number of doses per day to get the amount of each dose in milligrams, as follows:

1560 mg/day / 4 doses/day = 390 mg/dose

Therefore, the amount of ampicillin in one dose is 390 mg.


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Related Questions

Correct Answer is D

Explanation

To answer this question, we need to calculate the infusion rate in mL per hour by using the following formula²:

Infusion rate (mL/h) = Dose (mcg/kg/min) × Weight (kg) × 60 min/h × Volume (mL) / Concentration (mcg/mL)

In this case, the infusion rate is:

Infusion rate (mL/h) = 3 mcg/kg/min × 70 kg × 60 min/h × 250 mL / 2500 mg

We need to convert lb to kg by dividing by 2.2

Infusion rate (mL/h) = 3 mcg/kg/min × (154 lb / 2.2 kg/lb) × 60 min/h × 250 mL / 2500 mg

We need to convert mg to mcg by multiplying by 1000:

Infusion rte (mL/h) = 3 mcg/kg/min × (154 lb / 2.2 kg/lb) × 60 min/h × 250 mL / (2500 mg × 1000 mcg/mg)

We can simplify the equation by canceling out some units and numbers:

Infusion rate (mL/h) = 3 × 154 × 250 / (2.2 × 2500 × 1000)

We can use a calculator to get the final answer:

Infusion rate (mL/h) = 12.6363636363636 mL/h

Correct Answer is A

Explanation

To find the milligrams 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)
- The dose of Lopressor in milligrams per minute using the formula: Dose (mg/min) = Infusion rate (mL/min) x Concentration (mg/mL)


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 2 minutes, plug in these values into the formula:


Infusion rate (mL/min) = 5 mL / 2 min


Simplify and solve for the infusion rate:


Infusion rate (mL/min) = 2.5 mL/min


Then, use the formula for dose to find how many milligrams per minute the patient should receive:


Dose (mg/min) = Infusion rate (mL/min) x Concentration (mg/mL)


Since the infusion rate is 2.5 mL/min and the concentration is 1 mg/mL, plug in these values into the formula:


Dose (mg/min) = 2.5 mL/min x 1 mg/mL


Simplify and solve for the dose:


Dose (mg/min) = 2.5 mg/min


Therefore, the patient should receive **2.5 mg/min** of Lopressor.

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