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A dosage of 40 mg in 4 mL needs to be diluted to a total volume of 50 mL and administered over a period of 90 minutes. Using a volumetric or syringe pump, determine the amount of diluent to be added and the flow rate in mL/hr to set the pumps.
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To dilute the dosage, subtract the initial volume of 4 mL from the desired total volume of 50 mL, resulting in a dilution volume of 46 mL. Let X mL be the required amount of diluent. Set up a proportion using the ratio of 50 mL to 90 minutes and X mL to 60 minutes (the standard rate of flow). Cross multiply the terms in the proportion and solve for X. The obtained result is 33.33 mL/hr, which can be rounded to 33 mL/hr. Therefore, 33 mL/hr is the flow rate to set the pumps for administering the diluted dosage.
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