How many prefilled 5 mL oral syringes must be dispensed to provide a 72 hour supply?
24 prefilled 5 mL oral syringes must be dispensed to provide a 72-hour supply.
To determine the number of syringes needed, we calculate the total volume required for 72 hours and then divide that by the volume of each syringe. Assuming a dosage of 5 mL every hour, a total of 360 mL is required for 72 hours, which equates to 24 syringes.
Dispensing 6 syringes would provide only 30 mL total, which is insufficient for a 72-hour supply if the required dosage is 5 mL per hour. This option falls drastically short of the necessary total volume.
Twelve syringes would yield a total of 60 mL, which still does not meet the 360 mL requirement for a 72-hour dosage. As with the previous option, this choice is inadequate for the prescribed duration.
This choice correctly calculates that 24 syringes provide 120 mL (5 mL x 24), meeting the exact dosage needed for 72 hours. Thus, this option satisfies the requirement perfectly.
While 36 syringes would exceed the necessary supply, providing 180 mL, it is not the correct answer for the minimum number of syringes needed. This choice is unnecessarily excessive for the given requirement.
To supply a continuous 72-hour dosage at 5 mL per hour, 24 syringes are required, amounting to 360 mL total. Options A and B do not provide sufficient volume, while option D exceeds the requirement. Therefore, option C is the optimal and correct answer, ensuring adequate medication supply without excess.
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