Question

section 3.4 dosages and concentrations
objective 1 - compare dosages and concentrations
objective 2 - understand density
objective 1 - compare dosages and concentrations
guided practice activity #8 - dosages and concentrations
common conversions

1. medicine is ordered at 0.048 g and comes mixed in solution at 25 mg/100 ml. how many ml should be administered?
2. a doctor orders 2.3 g of rocephin to be taken by a 15 lb. 6 oz. infant every 8 hours. the recommended dosage is 75 - 100 mg/kg per day. is the ordered amount within the recommended range?

Explanation:

Step1: Convert grams to milligrams

Since \(1g = 1000mg\), for \(0.048g\), we have \(0.048\times1000 = 48mg\).

Step2: Set up a proportion

Let \(x\) be the volume in \(ml\). We know the concentration is \(25mg/100ml\). So the proportion is \(\frac{25mg}{100ml}=\frac{48mg}{x}\).
Cross - multiply: \(25x=48\times100\).
Then \(25x = 4800\).
Solve for \(x\): \(x=\frac{4800}{25}=192ml\).

Answer:

\(192ml\)