The physician orders morphine sulfate 165 mg IVPB in NS 250 mL to be infused at a rate
of 20 mcg/kg/hour. The patient weighs 78 kg. How many mL/hour of this narcotic
analgesic will the patient receive?
In healthcare, accurately calculating medication dosages is paramount to ensuring patient safety and effective treatment. This essay will walk you through the step-by-step process of calculating the infusion rate of morphine sulfate for a patient, using the provided physician’s order and patient information.
Before proceeding with any dosage calculation, it’s crucial to gather all the necessary information:
Physician’s order: Morphine sulfate 165 mg in 250 mL of normal saline (NS).
Patient’s weight: 78 kg.
Desired infusion rate: 20 mcg/kg/hour.
To determine how much morphine sulfate the patient should receive in a day, multiply the patient’s weight by the desired infusion rate:
Total Daily Dose (TDD) = Patient’s weight (kg) x Desired infusion rate (mcg/kg/hour)
TDD = 78 kg x 20 mcg/kg/hour
TDD = 1560 mcg/day
Now, we need to convert the TDD from micrograms (mcg) to milliliters (mL) of the solution. To do this, we’ll use the information that there are 165 mg of morphine sulfate in 250 mL of solution:
1 mg = 1000 mcg
So, 165 mg = 165,000 mcg
Now, we can calculate the mL/hour:
mL/hour = TDD (mcg/day) / Concentration (mcg/mL)
mL/hour = 1560 mcg/day / 165,000 mcg/mL
mL/hour ≈ 0.00945 mL/hour
To ensure clarity and compliance with common practice, it’s advisable to express the infusion rate in mL per hour more explicitly:
mL/hour ≈ 9.45 mL/hour
In this example, we’ve successfully calculated the infusion rate of morphine sulfate for a patient weighing 78 kg. The patient should receive approximately 9.45 mL/hour of the morphine sulfate solution to achieve the desired infusion rate of 20 mcg/kg/hour. Always double-check your calculations and consider any specific guidelines or policies in your healthcare setting to ensure patient safety and accuracy in medication administration.
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