QuestionA child weighing 80 lbs needs Phenytoin elixir $60 \mathrm{mg}$ every 8 hours. How many mls per dose? (Round to 1 decimal place)

Studdy Solution

STEP 1

Assumptions1. The child's weight is80 pounds. The child is to receive Phenytoin elixir60mg every8 hours3. The safe dose range is4 to8 mg/kg/day4. The maximum dose allowed is300mg per day5. The medication is supplied as Phenytoin125mg/5ml

STEP 2

First, we need to convert the child's weight from pounds to kilograms, as the safe dose range is given in mg/kg/day. We know that1 pound is approximately0.453592 kg.
$Weight_{kg} = Weight_{pounds} \\times0.453592$

STEP 3

Now, plug in the given value for the child's weight in pounds to calculate the weight in kilograms.
$Weight_{kg} =80 \\times0.453592$

STEP 4

Calculate the child's weight in kilograms.
$Weight_{kg} =80 \\times0.453592 =36.2874\, kg$

STEP 5

Now that we have the child's weight in kilograms, we can calculate the total daily dose of Phenytoin the child should receive. We know that the child is to receive Phenytoin elixir60mg every8 hours, which means3 doses per day.
$Total\, daily\, dose = Dose\, per\, time \\times Number\, of\, doses\, per\, day$

STEP 6

Plug in the values for the dose per time and the number of doses per day to calculate the total daily dose.
$Total\, daily\, dose =60\, mg \\times3$

STEP 7

Calculate the total daily dose.
$Total\, daily\, dose =60\, mg \\times3 =180\, mg$

STEP 8

Now that we have the total daily dose, we can calculate the volume of Phenytoin elixir the child should receive per dose. We know that the medication is supplied as Phenytoin125mg/5ml.
$Volume\, per\, dose = Total\, daily\, dose / (ose\, per\, ml \\times Number\, of\, doses\, per\, day)$

STEP 9

Plug in the values for the total daily dose, the dose per ml, and the number of doses per day to calculate the volume per dose.
$Volume\, per\, dose =180\, mg / (125\, mg/5\, ml \\times3)$

STEP 10

Calculate the volume per dose.
$Volume\, per\, dose =180\, mg / (125\, mg/5\, ml \\times3) =7.2\, ml$ The child should receive7.2 ml of Phenytoin elixir per dose. However, we need to round this to the10th place.

STEP 11

Round the volume per dose to the10th place.
$Volume\, per\, dose =7.\, ml \approx7.0\, ml$ The child should receive approximately7.0 ml of Phenytoin elixir per dose.

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