QuestionA child weighs 29 pounds. Is a dose of $0.125 \mathrm{mg}$ every 12 hours safe, given the range $11.3-18.8 \mathrm{mg} / \mathrm{kg} / \mathrm{day}$ ?

Studdy Solution

STEP 1

Assumptions1. The child's weight is29 pounds. . The ordered dose is0.125 mg every12 hours.
3. The safe dose range for children under15 kg is11.3-18.8 mg/kg/day.
4. The conversion from pounds to kilograms is1 pound =0.453592 kg.

STEP 2

First, we need to convert the child's weight from pounds to kilograms. We can do this by multiplying the weight in pounds by the conversion factor.
$Weight\, in\, kg = Weight\, in\, pounds \\times Conversion\, factor$

STEP 3

Now, plug in the given values for the weight in pounds and the conversion factor to calculate the weight in kilograms.
$Weight\, in\, kg =29\, pounds \\times0.453592\, kg/pound$

STEP 4

Calculate the child's weight in kilograms.
$Weight\, in\, kg =29\, pounds \\times0.453592\, kg/pound =13.15\, kg$

STEP 5

Now that we have the child's weight in kilograms, we can calculate the total daily dose that the child is receiving. This is done by multiplying the ordered dose (which is given every12 hours) by2.
$Total\, daily\, dose = Ordered\, dose \\times2$

STEP 6

Plug in the value for the ordered dose to calculate the total daily dose.
$Total\, daily\, dose =0.125\, mg \\times2$

STEP 7

Calculate the total daily dose.
$Total\, daily\, dose =0.125\, mg \\times2 =0.25\, mg$

STEP 8

Now that we have the total daily dose, we can calculate the daily dose per kg of body weight. This is done by dividing the total daily dose by the child's weight in kilograms.
$Daily\, dose\, per\, kg = Total\, daily\, dose / Weight\, in\, kg$

STEP 9

Plug in the values for the total daily dose and the weight in kilograms to calculate the daily dose per kg.
$Daily\, dose\, per\, kg =.25\, mg /13.15\, kg$

STEP 10

Calculate the daily dose per kg.
$Daily\, dose\, per\, kg =0.25\, mg /13.15\, kg =0.019\, mg/kg$

STEP 11

Finally, we need to compare the calculated daily dose per kg with the safe dose range. If the calculated dose is within the safe dose range, then the ordered dose is safe to give to the child.The safe dose range is11.3-18.8 mg/kg/day.Our calculated dose is0.019 mg/kg/day, which is much lower than the safe dose range. Therefore, the ordered dose is safe to give to the child.

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