Final answer:
The nurse should administer approximately 14 mL of chlorpromazine syrup to the adolescent.
Step-by-step explanation:
To calculate the amount of chlorpromazine syrup that the nurse should administer, we need to use the formula:
Dose (mg) = Weight (kg) x Dosage (mg/kg)
In this case, the weight of the adolescent is 110 lb and we need to convert it to kg. Since 1 lb is approximately 0.4536 kg, the weight of the adolescent in kg is 110 lb x 0.4536 kg/lb = 49.8952 kg (round to 49.9 kg).
Now, we can calculate the dose:
Dose (mg) = 49.9 kg x 0.55 mg/kg = 27.445 mg (round to 27 mg)
Next, we need to calculate the volume of the syrup to administer based on the concentration of the syrup.
The syrup has a concentration of 10 mg/5 mL, which means that for every 10 mg of chlorpromazine, there are 5 mL of syrup. Therefore, we can set up the following proportion:
10 mg / 5 mL = 27 mg / x mL
Cross-multiplying, we get:
10 mg * x mL = 5 mL * 27 mg
Simplifying, we find:
x = (5 mL * 27 mg) / 10 mg = 13.5 mL
Therefore, the nurse should administer approximately 14 mL of chlorpromazine syrup to the adolescent.