Final answer:
To administer the correct dosage of codeine syrup for an 88 lb child at 0.5mg/kg per dose, convert the child's weight to kilograms, calculate the total mg required, and then calculate the volume in mL using the concentration of the available solution: 6.67 mL per dose.
Step-by-step explanation:
To calculate the volume of codeine syrup you should administer per dose for a child weighing 88 lbs using a 0.5mg/kg dose every 6 hours, first, convert the child's weight from pounds to kilograms. Knowing that 1 kilogram is equivalent to 2.2 pounds:
88 lbs × (1 kg / 2.2 lbs) = 40 kg (approximately).
Next, calculate the total dosage in milligrams based on the child's weight and the prescribed dosage:
40 kg × 0.5 mg/kg = 20 mg per dose.
Now, using the concentration of the available codeine solution (15 mg of codeine in 5 mL of syrup), you can determine how many mL are needed for a 20 mg dose.
Set up a proportion to find the volume (x) in mL:
(15 mg / 5 mL) = (20 mg / x mL)
Cross-multiply and solve for x:
15x = 100
x = 100 / 15
x = 6.67 mL.
Therefore, you will administer 6.67 mL of codeine syrup per dose to the child.