The patient was admitted with an upper respiratory infection. The physician orders an antibiotic to be given every 6 hours. The dosage is 50 mg/kg/day. The medication is supplied in a vial labeled 1 g /5 ml.
The patient weighs 106 lbs.
How many ml/dose will the patient receive? Show all work
(Round to the nearest tenth if needed)
The patient will receive [.
]ml/dose
To calculate the dosage in milliliters per dose, we need to determine the following:
1. Convert the weight from pounds to kilograms: 106 lbs * (1 kg / 2.2 lbs) = 48.2 kg (rounded to the nearest tenth).
2. Calculate the total daily dosage: 50 mg/kg/day * 48.2 kg = 2410 mg/day.
3. Divide the total daily dosage by the number of doses per day to get the dosage per dose: 2410 mg/day / 4 doses/day = 602.5 mg/dose.
4. Convert the dosage from milligrams to grams: 602.5 mg / 1000 = 0.6025 g/dose.
5. Determine how much medication is in each milliliter: 1 g / 5 ml = 0.2 g/ml.
6. Divide the dose in grams by the medication concentration in grams per milliliter to get the dose in milliliters: 0.6025 g / 0.2 g/ml = 3.0125 ml/dose (rounded to the nearest tenth).
Therefore, the patient will receive 3.0 ml/dose.
To determine the dosage, we need to convert the weight of the patient from pounds to kilograms.
1 lb = 0.4536 kg
So, the patient's weight in kg is:
106 lbs * 0.4536 kg/lb = 48.1746 kg (rounded to four decimal places)
The dosage is given in mg/kg/day, so we can calculate the total dosage needed for the patient in mg/day:
Dosage = 50 mg/kg/day * 48.1746 kg = 2408.73 mg/day
Since the medication is supplied in a vial labeled 1 g/5 ml, we need to convert the total dosage from mg to g:
2408.73 mg * 1 g/1000 mg = 2.40873 g
Now, to calculate the ml/dose, divide the total dosage in grams by the concentration of the medication in each ml:
2.40873 g / 5 ml = 0.481746 ml/dose (rounded to six decimal places)
Therefore, the patient will receive approximately 0.5 ml/dose.