Problem

The doctor orders morphine sulfate 13.2mg subcutaneously every 4 hours as needed for pain for a female weighing 73 pounds. The recommended maximum dose for a child is 0.1 to 0.2mg/kg/dose. Morphine sulfate is available in 22mg per 1 mL. How many milliliters would be drawn for this dosage? After calculating the dosage, determine if the dosage is therapeutic. If it is not, what is the correct therapeutic dosage?
For this dosage mL would be drawn.
(Type an integer or a decimal.)

Answer

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Answer

Final Answer: For the ordered dosage, 0.6mL would be drawn. However, the dosage is not therapeutic. The correct therapeutic dosage is approximately 3.31mg, for which approximately 0.15mL would be drawn. Therefore, the answer is 0.6.

Steps

Step 1 :First, convert the weight from pounds to kilograms since the recommended dosage is given in mg/kg. We know that 1 pound is approximately 0.453592 kg. So, the weight in kg is 73×0.453592=33.112216kg.

Step 2 :Next, calculate the volume of morphine sulfate to be drawn by dividing the ordered dosage by the concentration. So, the volume is 13.222=0.6mL.

Step 3 :Then, calculate the dosage in mg/kg by dividing the ordered dosage by the weight in kg. So, the dosage is 13.233.112216=0.3986444157044639mg/kg.

Step 4 :Check if the dosage is therapeutic by comparing it with the recommended dosage. The dosage is not therapeutic as it is greater than the maximum recommended dosage of 0.2 mg/kg.

Step 5 :Finally, calculate the correct therapeutic dosage. The correct therapeutic dosage is the minimum recommended dosage of 0.1 mg/kg times the weight in kg. So, the correct dosage is 0.1×33.112216=3.3112215999999997mg.

Step 6 :And the correct volume to be drawn for this dosage is 3.311221599999999722=0.1505100727272727mL.

Step 7 :Final Answer: For the ordered dosage, 0.6mL would be drawn. However, the dosage is not therapeutic. The correct therapeutic dosage is approximately 3.31mg, for which approximately 0.15mL would be drawn. Therefore, the answer is 0.6.

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