Answer :
Final answer:
To find the volume of medication to administer, you must first convert the patient's weight to kilograms. Then, you multiply this weight by the medication's strength in mg/kg to get the total dosage in mg. The final step is to convert this dosage to mL using the medication's strength in mL. The total volume to administer is 581.64 mL.
Explanation:
The problem at hand can be summed up as a dosage calculation in the medical field, specifically involving medication strength and patient's weight volume. In this particular question, the medication strength is specified as 1/2 mL at 15 mg/kg. The patient's weight is given as 172 lb (I assumed this was the case because 172 16 is not a standard unit of weight in medicine). We first need to convert the weight from pounds to kilograms as the standard in medicine is to go by kilograms. This conversion is done with the knowledge that 1 pound is roughly equal to 0.4536 kilograms. So, the weight in kilograms is 172 * 0.45 = 77.552 kg. The next step is to compute the total dosage by multiplying the weight of the patient in kilograms by the strength of the medication. Hence, the total dosage needed is: 15mg/kg * 77.552 kg = 1163.28 mg. However, note that our medication strength was given in mL, not mg. Thus, this dosage has to be converted using the medication's strength. 1 mL of the medication contains 2mg (because 1/2 mL contains 1mg). Therefore, the volume to be administered is 1163.28 mg / 2 mg/mL = 581.64 mL.
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