Final answer:
To infuse 500mL of D5W in 12 hours with a set that delivers 15 gtt/mL, the flow rate needs to be 10 gtt/min. This is calculated by converting the time to minutes and applying the formula for flow rate, which gives the result as 10.42 gtt/min, rounded down to 10 gtt/min. Option B is correct.
Step-by-step explanation:
The question asks to determine the flow rate required to infuse 500mL of D5W in 12 hours using an infusion set that delivers 15 drops per mL (abbreviated as gtt/mL). To find the flow rate in drops per minute (gtt/min), we'll use the formula:
Flow Rate (in gtt/min) = (Volume (in mL) × Drop Factor (in gtt/mL)) / Time (in minutes)
Convert the time from hours to minutes: 12 hours × 60 minutes/hour = 720 minutes.
Apply the formula with the given values: (500 mL × 15 gtt/mL) / 720 minutes = 7500 gtt / 720 minutes = 10.42 gtt/min, which we can round to the nearest whole number as 10 gtt/min.
Therefore, the correct flow rate to infuse 500mL of D5W in 12 hours is 10 gtt/min, which corresponds to option b.