An infant acetaminophen suspension contains 80mg/0.80mL. The recommended dose is 15mg/kg body weight. How many mL of this suspension should be given to an infant weighing 11 lbs?

Respuesta :

The infant should be given 0.75 mL of acetaminophen suspension.

Further Explanation:

The steps in solving this problem are:

1. Convert the weight of the infant to kg.

2. From the weight (in kg), determine amount of acetaminophen needed.

3. Using the calculated amount of acetaminophen (in mg), determine the volume of suspension needed.

The problem provides conversion factors that may be used for the conversions:

80 mg acetaminophen = 0.80 mL suspension

15 mg acetaminophen = 1 kg (recommended dose)

STEP 1: Convert the weight to kg. This is necessary since the recommended dose is given in units of mg/kg.

[tex]mass \ in \ kg = 11 \ lbs\ (\frac{1 \ kg}{2.2 \ lbs}) \\ \\mass \ in \ kg \ = 5.0 \ kg[/tex]

STEP 2: Determine the amount of acetaminophen suitable for a 5 kg infant.

[tex]amount \ of \ acetaminophen \ = 5.0 \ kg \ (\frac{15 \ mg}{1 \ kg}) \\\\amount \ of \ acetaminophen \ = 75 \ mg[/tex]

STEP 3: Determine the amount of suspension that has 75 mg of acetaminophen.

[tex]amount \ of \ suspension \ = 75 \ mg \ (\frac{0.80 \ mL}{0.80 \ mg})\\ \\\boxed {amount \ of \ suspension \ = 0.75 \ mL}[/tex]

Therefore, 0.75 mL of acetaminophen suspension should be given to an 11 lbs infant.

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Keywords: dimensional analysis, conversion factor

0.75 mL of acetaminophen suspension must be given to a child with 11 lbs weight.

Further Explanation:

The acetaminophen infant drops are used to cure moderate pain and to decrease fever. These drops are directly taken through the mouth. The dosage instructions must be carefully read before consuming the medication. One must check the product, before giving it to an infant, whether it is specifically meant for children or not. A person must know his/her child’s weight to find the correct dose for the infant. One should inform their doctor regarding any allergies or any other medical condition before using the medication.

Here, following details are given in the question:

Acetaminophen suspension = 80mg/0.80mL

Recommended dose = 15mg/kg of body weight

Infant weight = 11lbs

Firstly, the weight in lbs must be converted into kg

1 kg = 2.2 lbs

11lbs/x kg = 2.2 lbs/1kg

x kg = 11/2.2

x = 5 kg

Then, find the recommended dose in mg using the infant's weight in kg

15 mg/1kg = x mg/5 kg

x mg = 15 x 5

x = 75 mg

Lastly, find the dose in mL using the medication on hand which is 80mg/0.80 mL

80 mg/0.80mL = 75 mg/x mL

x mL = (75x0.80)/(80)

x = 0.75mL

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Answer Details:

Grade: High School

Chapter: Acetaminophen Suspension

Subject: Health

Keywords:

Acetaminophen suspension, moderate pain, fever, body weight, dosage, infant, recommended dose.