Tylenol 3 has 16 mg of Codeine per 11 ml of liquid. A safe dose of Codeine is 4.8 mg/Kg/Day.
A patient who weighs 215 pounds needs a Tylenol 3 prescription. There are 2.2 pounds for every 1 kilogram. How many kilograms is this person's mass?
How many milligrams of Codeine can this patient have per day?
How many milliliters should the patient be prescribed every 6 hours of Tylenol 3.
215lb * 1kg/2.2lb = 97.727kg
97.727kg * (4.8mg/day)/kg = 445.091 mg/day
445.091 mg/day * 11ml/16mg = 306ml/24hr = 76.5 ml/(6hr)
To determine the patient's weight in kilograms, we need to convert their weight from pounds to kilograms. We know that there are 2.2 pounds in 1 kilogram.
So, to convert 215 pounds to kilograms, we divide 215 by 2.2:
215 pounds / 2.2 pounds/kg = 97.73 kilograms (rounded to two decimal places)
Therefore, the person's weight is approximately 97.73 kilograms.
Now, to calculate the safe dosage of Codeine per day, we use the formula: safe dose = 4.8 mg/kg/day. We will multiply this safe dose by the person's weight in kilograms.
Safe dose of Codeine = 4.8 mg/kg/day × 97.73 kg = 468.81 mg/day (rounded to two decimal places)
Hence, the patient can have a maximum of approximately 468.81 milligrams of Codeine per day.
Finally, we need to determine how many milliliters of Tylenol 3 the patient should be prescribed every 6 hours. We know that Tylenol 3 has 16 mg of Codeine per 11 ml of liquid.
To calculate the dosage per 6 hours, we multiply the safe dose per day (468.81 mg/day) by the ratio of Codeine to liquid in Tylenol 3:
Dosage per 6 hours = (468.81 mg/day ÷ 24 hours) × (11 ml ÷ 16 mg) × 6 hours ≈ 23.22 ml (rounded to two decimal places)
Therefore, the patient should be prescribed approximately 23.22 milliliters of Tylenol 3 every 6 hours.