Question

Rocephin® is an antibiotic sometimes used to treat skin infections. In children, the maximum recommended daily dose of this medicine is 75 mg/kg of body mass. Express this dosage in g/lb, using the conversion 1 kg=2.20 lb.

Answer 1

A daily dose of 75 mg/kg of body mass of Rocephin® is equivalent to 0.034 g/lb of body mass.

In children, the maximum recommended daily dose of this medicine is 75 mg/kg of body mass. First, we will convert this dose to g/kg of body mass using the conversion factor 1 g = 1000 mg.

$\frac{75 mg\ Rocephin}{kg\ body\ mass} \times \frac{1 g\ Rocephin}{1000 mg\ Rocephin} = \frac{0.075 g\ Rocephin }{kg\ body\ mass}$

Then, we will convert the dose of 0.075 g of Rocephin/kg of body mass to g of Rocephin/lb of body mass using the conversion factor 1 kg = 2.20 lb.

$\frac{0.075 g\ Rocephin }{kg\ body\ mass} \times \frac{1kg\ body\ mass}{2.20lb\ body\ mass} = \frac{0.034 g Rocephin}{lb\ body mass}$

A daily dose of 75 mg/kg of body mass of Rocephin® is equivalent to 0.034 g/lb of body mass.

You can learn more about unit conversions here: https://brainly.com/question/19420601