Calculate the safe and therapeutic dose range of ibuprofen for a child who weighs 39 pounds. Ibuprofen is available as 100 mg/5 mL. The recommended dose range is 5 mg to 10 mg/kg/d... Calculate the safe and therapeutic dose range of ibuprofen for a child who weighs 39 pounds. Ibuprofen is available as 100 mg/5 mL. The recommended dose range is 5 mg to 10 mg/kg/dose every 6-8 hours.
Understand the Problem
The question is asking to calculate the safe and therapeutic dose range of ibuprofen for a child based on their weight in pounds. We will convert the child's weight to kilograms, then use the recommended dose range of 5 mg to 10 mg per kg to find the appropriate dosages.
Answer
$$ \text{Dose Range} = [W \times 0.453592 \times 5, W \times 0.453592 \times 10] $$
Answer for screen readers
The safe and therapeutic dose range of ibuprofen for a child weighing ( W ) pounds is:
$$ \text{Dose Range} = [W \times 0.453592 \times 5, W \times 0.453592 \times 10] $$
Steps to Solve
- Convert Weight from Pounds to Kilograms
To begin, we need to convert the child's weight from pounds to kilograms. The conversion factor is
$$ 1 \text{ pound} = 0.453592 \text{ kilograms} $$
So, if the child's weight is ( W ) pounds, the weight in kilograms ( W_{kg} ) can be calculated as:
$$ W_{kg} = W \times 0.453592 $$
- Calculate the Lower Dose Limit
Next, we want to find the lower limit of the therapeutic dose range of ibuprofen. The recommended lower dose is 5 mg per kg. Thus, we can calculate the lower dose ( D_{min} ):
$$ D_{min} = W_{kg} \times 5 $$
- Calculate the Upper Dose Limit
Now, we will calculate the upper limit of the therapeutic dose range of ibuprofen. The upper dose is 10 mg per kg. We can calculate the upper dose ( D_{max} ):
$$ D_{max} = W_{kg} \times 10 $$
- Summary of Resulting Safe Dose Range
The final step is to express the safe and therapeutic dose range of ibuprofen for the child based on the child’s weight. The range will be from ( D_{min} ) to ( D_{max} ):
$$ \text{Dose Range} = [D_{min}, D_{max}] $$
The safe and therapeutic dose range of ibuprofen for a child weighing ( W ) pounds is:
$$ \text{Dose Range} = [W \times 0.453592 \times 5, W \times 0.453592 \times 10] $$
More Information
This calculation is important for ensuring that children receive the right amount of medication based on their body weight, as the appropriate dosages can prevent toxicity and ensure effectiveness. It is always recommended to consult with a healthcare professional for precise dosing.
Tips
- Neglecting the conversion from pounds to kilograms can lead to incorrect calculations of doses.
- Using incorrect dose limits (not following the prescribed range of 5 mg to 10 mg per kg) may also result in errors.
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