An antibiotic is reconstituted with 128ml of water to yield 250mg/5ml.
A) If the child weighs 66 pounds what will the dose be at 5mg/kg/dose?
B) If the medication is given qid x 10 days, will the 150ml bottle be enough?
To determine the dose of the antibiotic for a child weighing 66 pounds, we will first convert the weight from pounds to kilograms using the conversion factor of 1 pound = 0.453592 kilograms.
A) Dose Calculation:
1. Convert weight from pounds to kilograms:
66 pounds * 0.453592 kg/pound = 29.937352 kg (rounded to 2 decimal places)
2. Calculate the dose in mg:
Dose = Weight in kg * Dose in mg per kg
Dose = 29.94 kg * 5 mg/kg
Dose = 149.71 mg
Therefore, the dose for a child weighing 66 pounds at 5mg/kg/dose would be approximately 150 mg.
B) To determine if the 150ml bottle will be enough for the prescribed duration:
1. Calculate the total dosage required for a single day:
Total dosage per day = Dose per dose * Number of doses per day
(Given: Dose per dose = 150 mg, Number of doses per day = 4)
Total dosage per day = 150 mg * 4
Total dosage per day = 600 mg
2. Calculate the total dosage required for 10 days:
Total dosage for 10 days = Total dosage per day * Number of days
(Given: Number of days = 10)
Total dosage for 10 days = 600 mg * 10
Total dosage for 10 days = 6000 mg
As the total dosage required for 10 days is 6000 mg, we need to check if the 150ml bottle can hold this amount.
3. Convert the concentration of the antibiotic from mg/5ml to mg/ml:
Concentration in mg/ml = Concentration in mg/5ml / 5
(Given: Concentration in mg/5ml = 250 mg/5ml)
Concentration in mg/ml = 250 mg/5ml / 5
Concentration in mg/ml = 50 mg/ml
4. Calculate the required volume of the antibiotic for 6000 mg:
Volume required = Total dosage for 10 days / Concentration in mg/ml
Volume required = 6000 mg / 50 mg/ml
Volume required = 120 ml
Since the required volume for 10 days (120 ml) is less than the 150ml bottle, the 150ml bottle will be enough to complete the prescribed duration.
Note: It's important to consult with a healthcare professional or pharmacist before administering any medication to ensure accurate dosing.