A pediatrician prescribes the antibiotic amoxicillin to treat a child suffering from an ear infection. The prescribed dose is to be 72.1 mg of drug per kilogram patient body mass per day. The drug is to be administered twice each day in the form of a liquid containing 126.0 mg amoxicillin per milliliter.
If the child weighs 35.01 pounds, how many milliliters of the liquid should be administered in each dose?
To calculate the number of milliliters of the liquid that should be administered in each dose, we need to convert the weight of the child from pounds to kilograms.
1 pound is equal to 0.453592 kilograms.
So, the weight of the child in kilograms would be:
35.01 pounds * 0.453592 kilograms/pound = 15.88 kilograms.
Now, we can calculate the total dosage per day for the child:
Total dosage per day = prescribed dose * patient body mass
Total dosage per day = 72.1 mg/kg/day * 15.88 kg = 1146.208 mg/day.
Since the drug is administered twice each day, we need to divide the total dosage into two equal doses:
Each dose = total dosage per day / number of doses per day
Each dose = 1146.208 mg/day / 2 = 573.104 mg/dose.
Finally, we need to convert the dose from milligrams to milliliters.
The liquid contains 126.0 mg of amoxicillin per milliliter.
So, the number of milliliters in each dose would be:
Number of milliliters = dose in milligrams / amount in milligrams per milliliter
Number of milliliters = 573.104 mg / 126.0 mg/mL = 4.55 mL.
Therefore, each dose of the liquid should be approximately 4.55 milliliters.
To calculate the number of milliliters of the liquid that should be administered in each dose, you need to follow these steps:
Step 1: Convert the weight of the child from pounds to kilograms.
Given that the child weighs 35.01 pounds, you need to convert this weight to kilograms. Since 1 pound is equal to 0.4536 kilograms, you can calculate the weight in kilograms using the following equation:
Weight (in kg) = Weight (in lbs) x 0.4536
Weight (in kg) = 35.01 lbs x 0.4536 = 15.875 kg (rounded to three decimal places)
Step 2: Calculate the total daily dose of the antibiotic for the child.
To find the total daily dose, you multiply the weight of the child (in kilograms) by the prescribed dose. The prescribed dose is given as 72.1 mg per kilogram of patient body mass per day:
Total Daily Dose = Weight (in kg) x Dose (mg/kg/day)
Total Daily Dose = 15.875 kg x 72.1 mg/kg/day = 1143.6875 mg/day (rounded to four decimal places)
Step 3: Determine the amount of liquid required for each dose.
The liquid contains 126.0 mg of amoxicillin per milliliter. To determine how many milliliters of the liquid should be administered in each dose, you need to divide the total daily dose by the concentration of amoxicillin in the liquid:
Amount of Liquid (in ml) = Total Daily Dose (in mg) / Concentration of Amoxicillin (in mg/ml)
Amount of Liquid (in ml) = 1143.6875 mg/day / 126.0 mg/ml = 9.0875 ml (rounded to four decimal places)
Therefore, approximately 9.0875 milliliters (or 9.09 ml, when rounded to two decimal places) of the liquid should be administered in each dose.