Question

Difficulty: EasyPharmacological and Parenteral Therapies

A nurse is preparing to administer a prescribed dose of cefepime 1 gram in 50 mL50\text{ mL} of 0.9%0.9\% sodium chloride intravenously over 30 minutes30\text{ minutes} to a client with a respiratory tract infection. At what rate in mL/hr\text{mL/hr} should the nurse set the intravenous infusion pump? Record your answer as a whole number.

Answer: 100 mL/hr

Answer

100
To determine the correct IV pump rate in mL/hr\text{mL/hr}, the nurse must calculate how many milliliters would infuse in 60 minutes based on the prescribed rate. By dividing the total volume (50 mL50\text{ mL}) by the time in hours (0.5 hours0.5\text{ hours}), the calculation is 50 mL0.5 hr=100 mL/hr\frac{50\text{ mL}}{0.5\text{ hr}} = 100\text{ mL/hr}. Alternatively, using the standard formula: 50 mL30 min×60 min/hr=100 mL/hr\frac{50\text{ mL}}{30\text{ min}} \times 60\text{ min/hr} = 100\text{ mL/hr}. Setting the pump to 100 mL/hr100\text{ mL/hr} ensures the entire 50 mL50\text{ mL} volume is delivered exactly in 30 minutes30\text{ minutes}.

Step-by-Step Solution

1
Identify the total volume of the IV solution.
50 mL50\text{ mL}
The infusion pump rate calculation requires the total volume of fluid to be administered.
2
Identify the total prescribed infusion time.
30 minutes30\text{ minutes}
The prescription specifies the duration over which the medication must safely infuse.
3
Convert the infusion time from minutes to hours.
0.5 hours0.5\text{ hours} (since 30÷60=0.530 \div 60 = 0.5)
Intravenous infusion pumps are programmed in mL/hr\text{mL/hr}, requiring a time conversion if the order is written in minutes.
4
Calculate the final pump rate.
100 mL/hr100\text{ mL/hr}
Dividing the volume by the time in hours: 50 mL0.5 hr=100 mL/hr\frac{50\text{ mL}}{0.5\text{ hr}} = 100\text{ mL/hr}.

Key Concept

Calculating intravenous infusion pump rates in mL/hr for intermittent piggyback medications.
Estimated Time:45s
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