Question

Difficulty: Very hardPharmacological and Parenteral Therapies

A rapid response nurse is managing a client who experienced a severe extravasation of a continuous norepinephrine infusion from a peripheral intravenous catheter. Following the facility's extravasation management protocol, the primary health care provider prescribes phentolamine mesylate 0.15 mg/kg0.15\text{ mg/kg} to be infiltrated subcutaneously around the ischemic site.

The client weighs 191.4 lbs191.4\text{ lbs}.

The pharmacy dispenses phentolamine in lyophilized vials, which the nurse reconstitutes to yield a concentration of 5 mg/mL5\text{ mg/mL}.

The protocol mandates that the exact calculated phentolamine dose must be further diluted with 0.9%0.9\% sodium chloride to achieve a final total syringe volume of 12 mL12\text{ mL} prior to administration.

How many milliliters (mL\text{mL}) of 0.9%0.9\% sodium chloride must the nurse draw up to mix with the phentolamine? Record your answer to the nearest tenth.

Answer: 9.4 mL

Answer

The nurse must draw up 9.4 mL of 0.9% sodium chloride.
To determine the correct amount of diluent, the nurse must first convert the client's weight to kilograms (191.4 lbs÷2.2=87 kg191.4\text{ lbs} \div 2.2 = 87\text{ kg}). Next, calculate the total medication dose (87 kg×0.15 mg/kg=13.05 mg87\text{ kg} \times 0.15\text{ mg/kg} = 13.05\text{ mg}). Then, determine the volume of the medication using the available concentration (13.05 mg÷5 mg/mL=2.61 mL13.05\text{ mg} \div 5\text{ mg/mL} = 2.61\text{ mL}). Finally, subtract the medication volume from the required total syringe volume to find the amount of diluent needed (12 mL−2.61 mL=9.39 mL12\text{ mL} - 2.61\text{ mL} = 9.39\text{ mL}). Rounding 9.39 mL9.39\text{ mL} to the nearest tenth yields 9.4 mL9.4\text{ mL}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
87 kg87\text{ kg}
The prescribed dose is weight-based in mg/kg, so the weight must be converted. 191.4 lbs÷2.2=87 kg191.4\text{ lbs} \div 2.2 = 87\text{ kg}.
2
Calculate the total required dose in milligrams.
13.05 mg13.05\text{ mg}
Multiply the client's weight in kilograms by the prescribed dosage. 87 kg×0.15 mg/kg=13.05 mg87\text{ kg} \times 0.15\text{ mg/kg} = 13.05\text{ mg}.
3
Calculate the volume of the phentolamine medication.
2.61 mL2.61\text{ mL}
Divide the total required dose by the available concentration. 13.05 mg÷5 mg/mL=2.61 mL13.05\text{ mg} \div 5\text{ mg/mL} = 2.61\text{ mL}.
4
Determine the volume of diluent required.
9.39 mL9.39\text{ mL}
Subtract the medication volume from the target final syringe volume to find the amount of diluent needed. 12 mL−2.61 mL=9.39 mL12\text{ mL} - 2.61\text{ mL} = 9.39\text{ mL}.
5
Round the final volume to the nearest tenth.
9.4 mL9.4\text{ mL}
Standard rounding rules dictate that a hundredth value of 9 rounds the tenth value up. 9.39 mL≈9.4 mL9.39\text{ mL} \approx 9.4\text{ mL}.

Key Concept

Calculating complex weight-based medication dosages and diluent volumes for parenteral administration.
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