Final answer:
To find the volume of medication the child should receive, set up a proportion using the ordered dose and the available concentration. Solve for the missing variable to find the volume in milliliters. The child should receive 7.5 mL of medication.
Step-by-step explanation:
To determine the volume of medication the child should receive, we need to calculate the amount of medication in a single dose and then convert it to the appropriate volume.
The physician ordered 240 mg of acetaminophen to be administered. The available concentration of Tylenol is 160 mg/5 mL. We can set up a proportion to find the volume:
240 mg / x mL = 160 mg / 5 mL
Cross multiplying, we have:
240 mg * 5 mL = 160 mg * x mL
Simplifying, we get:
1200 = 160x
Divide both sides by 160 to solve for x:
x = 1200 / 160
x = 7.5 mL
Therefore, the child should receive 7.5 mL of medication.