QuestionA child weighing 50 lbs needs tetracycline at $8 \mathrm{mg} / \mathrm{kg} /$ day, 4 times daily. Find: a. Dose in mg? b. mL per dose if supplied at $50 \mathrm{mg} / 7 \mathrm{~mL}$ ? c. Total daily mg?

Studdy Solution

STEP 1

Assumptions1. The child's weight is50 lbs. . The dosage of tetracycline elixir is8 mg/kg/day.
3. The dosage is divided equally into4 doses per day. 4.etracycline is supplied at a concentration of50 mg/7 mL.

STEP 2

First, we need to convert the child's weight from lbs to kg since the dosage is given in mg/kg/day. We can do this using the conversion factor1 kg =2.20462 lbs.
$Weight_{kg} = Weight_{lbs} /2.20462$

STEP 3

Now, plug in the given value for the child's weight to calculate the weight in kg.
$Weight_{kg} =50 /2.20462$

STEP 4

Calculate the child's weight in kg.
$Weight_{kg} =50 /2.20462 =22.68 kg$

STEP 5

Now that we have the child's weight in kg, we can find the total daily dosage of tetracycline. This is done by multiplying the child's weight in kg by the dosage in mg/kg/day.
$Total\, daily\, dosage = Weight_{kg} \\times Dosage_{mg/kg/day}$

STEP 6

Plug in the values for the child's weight and the dosage to calculate the total daily dosage.
$Total\, daily\, dosage =22.68 kg \\times8 mg/kg/day$

STEP 7

Calculate the total daily dosage.
$Total\, daily\, dosage =22.68 kg \\times mg/kg/day =181.44 mg/day$

STEP 8

Now that we have the total daily dosage, we can find the dosage per dose by dividing the total daily dosage by the number of doses per day.
$Dosage\, per\, dose = Total\, daily\, dosage / Number\, of\, doses\, per\, day$

STEP 9

Plug in the values for the total daily dosage and the number of doses per day to calculate the dosage per dose.
$Dosage\, per\, dose =181.44 mg/day /4$

STEP 10

Calculate the dosage per dose.
$Dosage\, per\, dose =181.44 mg/day /4 =45.36 mg/dose$ The child should be given45.36 mg of tetracycline per dose.

STEP 11

Now we need to find out how many mL of tetracycline should be administered per dose. We can do this by dividing the dosage per dose by the concentration of tetracycline in mg/mL.
$Volume\, per\, dose = Dosage\, per\, dose / Concentration_{mg/mL}$

STEP 12

First, we need to find the concentration of tetracycline in mg/mL. We can do this by dividing the amount of tetracycline in mg by the volume in mL.
$Concentration_{mg/mL} = Amount_{mg} / Volume_{m}$

STEP 13

Plug in the values for the amount of tetracycline and the volume to calculate the concentration.
$Concentration_{mg/mL} =50 mg /7 mL$

STEP 14

Calculate the concentration of tetracycline in mg/mL.
$Concentration_{mg/mL} =50 mg /7 mL =7.14 mg/mL$

STEP 15

Now, plug in the values for the dosage per dose and the concentration to calculate the volume per dose.
$Volume\, per\, dose =45.36 mg/dose /7.14 mg/mL$

STEP 16

Calculate the volume per dose.
$Volume\, per\, dose =45.36 mg/dose /.14 mg/mL =6.35 mL/dose$ The child should be given6.35 mL of tetracycline per dose.

STEP 17

Finally, we need to find out how many mg of tetracycline should be given daily. This is simply the total daily dosage we calculated earlier.
The child should be given181.44 mg of tetracycline daily.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms