Answer:
To determine the number of teaspoons of acetaminophen that should be given to a 30-pound child in 12 hours, we need to follow these steps:
Step 1: Convert the weight of the child from pounds to kilograms.
Since 1 pound is approximately 0.4536 kilograms, the child’s weight is 30 pounds * 0.4536 kg/pound = 13.61 kg.
Step 2: Calculate the total dosage required in 12 hours.
The recommended dosage is 10 mg/kg every four hours. Since the child should receive the dosage every four hours, in 12 hours they will receive the dose three times. Therefore, the total dosage required in 12 hours is: 10 mg/kg * 13.61 kg * 3 = 408.3 mg.
Step 3: Determine the number of milliliters based on the concentration.
We know that there are 25 mg of acetaminophen in every 10 ml. To find out the required volume, we can set up a proportion:
25 mg / 10 ml = 408.3 mg / x ml
Solving for x:
x = (408.3 mg * 10 ml) / 25 mg
x = 163.32 ml
Step 4: Convert milliliters to teaspoons.
Since there is 1 teaspoon in 5 ml, dividing the required volume in milliliters by 5 will give us the equivalent in teaspoons:
163.32 ml / 5 ml = 32.66 teaspoons
Therefore, approximately 32.66 teaspoons of acetaminophen should be given to the 30-pound child in 12 hours. Note that it’s important to consult a healthcare professional or follow the instructions provided by the manufacturer for accurate dosing.