A nurse is preparing to administer esmolol 50 mcg/kg/min by continuous IV infusion to a client who weighs 110 lb. Available is esmolol 2.5g in dextrose 5% in water 250 mL. The nurse should set the IV pump to deliver how many mL/hr?
(Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.)
The Correct Answer is ["15"]
To answer this question, we need to calculate the dose of esmolol in mcg/kg/min, then convert it to mg/hr, and then use the formula:
mL/hr = (dose in mg/hr) x (volume in mL) / (concentration in mg)
First, we convert the client's weight from pounds to kilograms:
110 lb x 1 kg / 2.2 lb = 50 kg
Next, we multiply the client's weight by the prescribed dose to get the dose in mcg/min: 50 kg x 50 mcg/kg/min = 2500 mcg/min
Then, we divide the dose in mcg/min by 1000 to get the dose in mg/min: 2500 mcg/min / 1000 = 2.5 mg/min
Finally, we multiply the dose in mg/min by 60 to get the dose in mg/hr: 2.5 mg/min x 60 = 150 mg/hr
Now, we can use the formula to find the infusion rate in mL/hr:
mL/hr = (150 mg/hr) x (250 mL) / (2500 mg)
mL/hr = 15
Therefore, the nurse should set the IV pump to deliver 15 mL/hr.
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Related Questions
Correct Answer is ["286"]
Explanation
To solve this problem, the nurse needs to convert the client's weight from pounds to kilograms, and then use the formula:
mL = (mg/kg x kg) / (mg/mL)
The client's weight in kilograms is:
126 lb / 2.2 lb/kg = 57.27 kg
The concentration of foscarnet in mg/mL is:
6,000 mg / 500 mL = 12 mg/mL
Plugging these values into the formula, we get:
mL = (60 mg/kg x 57.27 kg) / (12 mg/mL)
mL = (3,436.2 mg) / (12 mg/mL)
mL = 286.35 mL
Therefore, the nurse should administer 286 mL of foscarnet.
Correct Answer is ["38"]
Explanation
To solve this problem, the nurse needs to find the concentration of lidocaine in the solution, which is 1 g / 250 mL = 0.004 g/mL.
Then, the nurse needs to convert the dosage of lidocaine from mg/min to g/hr, which is 2.5 mg/min x 60 min/hr x 0.001 g/mg = 0.15 g/hr. Finally, the nurse needs to divide the dosage by the concentration to get the infusion rate, which is 0.15 g/hr / 0.004 g/mL = 37.5 mL/hr.
Rounding to the nearest whole number, the nurse should set the IV pump to deliver 38 mL/hr.
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