Question

The safe dosage of the IV antibiotic ceftriaxone for children weighing more than 2.0 kg is 60. mg per kilogram of body weight. Suppose a pediatric nurse has available 1.5 L of a ceftriaxone solution with a concentration of 0.030 g/mL. How can she calculate the volume of this solution that she should administer to a child weighing 41. kg? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. solution needed = 1 X 5 ?

Answer 1

Answer:

(41 × 60) / 30 mL of antibiotic solution

Explanation:

The safe dosage of ceftriaxone antibiotic is 60 mg per kilogram of body weight.

Now for a child weighing 41 kg we need:

if we need         60 mg of antibiotic per 1 kg of body weight

then we need   X mg of antibiotic per 41 kg of body weight

X = (41 × 60) / 1 = 41 × 60 mg of antibiotic

The solution of antibiotic have a concentration of 0.030 g/mL and if we transform in milligrams we have a concentration of 30 mg/mL.

Now we our case we need:

if         30 mg of antibiotic are found in 1 mL of solution

then    41 × 60 mg of antibiotic re found in Y mL of solution

Y = (41 × 60 × 1) / 30 = (41 × 60) / 30 mL of antibiotic solution