Question

a child is receiving 0.03 g of an antibiotic po q8h. the child weighs 22 lbs. how many mg\kg\day is the child receiving? mg\kg\day (if decimal, round to the tenth place.)

Explanation:

Step1: Convert grams to milligrams

Since \(1\ g = 1000\ mg\), then \(0.03\ g=0.03\times1000 = 30\ mg\) per dose.

Step2: Determine the number of doses per day

The dose is given every \(8\) hours (\(q8h\)). There are \(24\) hours in a day. So the number of doses per day \(n=\frac{24}{8}=3\) doses.

Step3: Calculate the total milligrams per day

The total milligrams per day \(=30\times3 = 90\ mg\)

Step4: Convert pounds to kilograms

Since \(1\ kg=\frac{1}{2.205}\ lb\approx2.2\ lb\), for a weight of \(22\ lb\), the weight in kilograms \(w=\frac{22}{2.2}=10\ kg\)

Step5: Calculate \(mg/kg/day\)

The amount in \(mg/kg/day=\frac{90}{10}=9.0\)

Answer:

\(9.0\)