QuestionCalculate the safe dose range for a 27-pound child given Eryped drops of $30-50 \mathrm{mg} / \mathrm{kg} / \mathrm{day}$ .

Studdy Solution

STEP 1

Assumptions1. The child's weight is27 pounds. . The safe dose range is30-50 mg/kg/day.
3. We need to convert the child's weight from pounds to kilograms, since the dose range is in mg/kg/day. (1 kg =.20462 pounds)

STEP 2

First, we need to convert the child's weight from pounds to kilograms. We can do this by dividing the weight in pounds by the conversion factor.
$Weight_{kg} = Weight_{pounds} / Conversion\, factor$

STEP 3

Now, plug in the given values for the weight in pounds and the conversion factor to calculate the weight in kilograms.
$Weight_{kg} =27 /2.20462$

STEP 4

Calculate the weight in kilograms.
$Weight_{kg} =27 /2.20462 =12.25 \approx12 \, kg$

STEP 5

Now that we have the child's weight in kilograms, we can calculate the safe dose range in mg/day. The lower limit of the safe dose range is calculated by multiplying the child's weight in kilograms by the lower limit of the dose range.
$Lower\, limit = Weight_{kg} \\times Lower\, limit\, of\, dose\, range$

STEP 6

Plug in the values for the weight in kilograms and the lower limit of the dose range to calculate the lower limit of the safe dose range.
$Lower\, limit =12 \\times30$

STEP 7

Calculate the lower limit of the safe dose range.
$Lower\, limit =12 \\times30 =360 \, mg/day$

STEP 8

Similarly, the upper limit of the safe dose range is calculated by multiplying the child's weight in kilograms by the upper limit of the dose range.
$Upper\, limit = Weight_{kg} \\times Upper\, limit\, of\, dose\, range$

STEP 9

Plug in the values for the weight in kilograms and the upper limit of the dose range to calculate the upper limit of the safe dose range.
$Upper\, limit =12 \\times50$

STEP 10

Calculate the upper limit of the safe dose range.
$Upper\, limit =12 \\times50 =600 \, mg/day$ The safe dose range for this child is360-600 mg/day.

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