Answer :
Final answer:
The child's weight in kilograms is 38.1 kg, the safe dose range for the child is 3.8 mg to 7.6 mg per dose, the ordered dosage of 7.5 mg is safe, and the volume to draw up for each dose is 1.5 ml of the morphine sulfate solution.
Explanation:
To answer a student's question regarding the safe dosage range and administration of morphine sulfate based on a child's weight, one needs to perform several drug dosage calculations. Let's address each part of the question step by step:
a. Child's Weight in kg
The child weighs 84 lbs. To convert pounds to kilograms, one uses the conversion factor where 1 pound = 0.453592 kilograms. Thus, the child's weight in kilograms is calculated as follows:
84 lbs × 0.453592 = 38.102728 kg, which when rounded to the nearest tenth is 38.1 kg.
b. Safe Dose Range for the Child
The recommended maximum dosage for a child is 0.1 to 0.2 mg/kg/dose. Therefore, the safe dose range for this child is calculated by multiplying the child's weight in kilograms by these dosage recommendations:
Lower limit: 38.1 kg × 0.1 mg/kg = 3.81 mg
Upper limit: 38.1 kg × 0.2 mg/kg = 7.62 mg
We round to the nearest tenth to obtain the safe dosage range of 3.8 mg to 7.6 mg per dose.
c. Safety of Ordered Dosage
The ordered dosage is 7.5 mg, which falls within the safe dose range of 3.8 mg to 7.6 mg, making the dosage ordered safe.
d. Volume to Draw Up for Each Dose
Morphine sulfate is supplied as 5 mg/ml. To calculate the volume needed for a 7.5 mg dose, divide the ordered dose by the concentration of the solution:
7.5 mg ÷ 5 mg/ml = 1.5 ml
Therefore, for each dose, you will draw up 1.5 ml of the morphine sulfate solution.
