Question

Difficulty: Very hardPharmacological and Parenteral Therapies

An emergency department team is treating a client for a hypertensive emergency. The provider prescribes a continuous sodium nitroprusside infusion with instructions to begin at 0.3 mcg/kg/min0.3 \text{ mcg/kg/min} and titrate upward by 0.3 mcg/kg/min0.3 \text{ mcg/kg/min} every 5 minutes5 \text{ minutes} until the mean arterial pressure (MAP) falls below 100 mm Hg100 \text{ mm Hg}.

The client's admission weight is 231 lbs231 \text{ lbs}.
The pharmacy supplies a premixed IV bag containing 50 mg50 \text{ mg} of sodium nitroprusside in 250 mL250 \text{ mL} of 5%5\% dextrose in water (D5WD_5W).

The nurse initiates the infusion. Because the client's MAP remains consistently above 100 mm Hg100 \text{ mm Hg} during the initial monitoring period, the nurse performs exactly three protocol-directed upward titrations.

Determine the new IV pump rate in mL/hr\text{mL/hr} immediately following the third titration. Round your final answer to the nearest whole number.

Answer: 38 mL/hr

Answer

38
To determine the correct IV pump rate for a weight-based titration, the nurse must first convert the weight to kilograms (231 lbs÷2.2=105 kg231 \text{ lbs} \div 2.2 = 105 \text{ kg}). Next, the new dose is calculated by adding the three titrations to the initial rate: 0.3+(3×0.3)=1.2 mcg/kg/min0.3 + (3 \times 0.3) = 1.2 \text{ mcg/kg/min}. This weight-based dose is multiplied by the client's weight (1.2×105=126 mcg/min1.2 \times 105 = 126 \text{ mcg/min}) and then converted to an hourly rate (126×60=7560 mcg/hr126 \times 60 = 7560 \text{ mcg/hr}). Finally, the hourly dose is divided by the bag concentration in matching units (50,000 mcg÷250 mL=200 mcg/mL50,000 \text{ mcg} \div 250 \text{ mL} = 200 \text{ mcg/mL}). The result (7560÷200=37.8 mL/hr7560 \div 200 = 37.8 \text{ mL/hr}) is rounded to the nearest whole number to get 38 mL/hr38 \text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
105 kg105 \text{ kg}
Weight-based dosing requires the client's weight in metric units (kg). Divide 231 lbs231 \text{ lbs} by 2.22.2.
2
Determine the new prescribed dose after three upward titrations.
1.2 mcg/kg/min1.2 \text{ mcg/kg/min}
The initial dose is 0.3 mcg/kg/min0.3 \text{ mcg/kg/min}. Each titration adds 0.3 mcg/kg/min0.3 \text{ mcg/kg/min}. Three titrations add 0.9 mcg/kg/min0.9 \text{ mcg/kg/min} to the baseline.
3
Calculate the total dose per minute based on the client's weight.
126 mcg/min126 \text{ mcg/min}
Multiply the weight-based dose (1.2 mcg/kg/min1.2 \text{ mcg/kg/min}) by the client's weight (105 kg105 \text{ kg}) to find the absolute per-minute dose.
4
Convert the per-minute dose to an hourly dose.
7560 mcg/hr7560 \text{ mcg/hr}
IV pumps are programmed in hours. Multiply the per-minute dose (126 mcg/min126 \text{ mcg/min}) by 6060 minutes.
5
Calculate the concentration of the medication in mcg/mL.
200 mcg/mL200 \text{ mcg/mL}
Convert 50 mg50 \text{ mg} to 50,000 mcg50,000 \text{ mcg}, then divide by the 250 mL250 \text{ mL} bag volume to align units with the ordered dose.
6
Calculate the required infusion volume per hour and round to the nearest whole number.
38 mL/hr38 \text{ mL/hr}
Divide the hourly dose (7560 mcg/hr7560 \text{ mcg/hr}) by the concentration (200 mcg/mL200 \text{ mcg/mL}) to get 37.8 mL/hr37.8 \text{ mL/hr}, which rounds to 3838.

Key Concept

Calculation and titration of weight-based continuous intravenous infusions (mcg/kg/min to mL/hr).
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