A nurse is preparing to administer esmolel 45 mcg/kg/min by continuous IV infusion to a client who weighs $2 kg. Available is esmolol 2,500 mg in dextrose 5% in water 250 mL. The nurse should set the IV pump to deliver how many mi/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 ["14"]
Understanding the Problem
Order: Esmolol 45 mcg/kg/min
Client Weight: 52 kg
Available Solution: Esmolol 2,500 mg in 250 mL of D5W
Desired Rate: mL/hr
Step 1: Calculate the Total Dose per Minute
Dose: 45 mcg/kg/min
Client Weight: 52 kg
Total Dose: 45 mcg/kg/min x 52 kg = 2340 mcg/min
Step 2: Convert Micrograms (mcg) to Milligrams (mg)
1 mg = 1000 mcg
Dose in mg/min: 2340 mcg/min / 1000 mcg/mg = 2.34 mg/min
Step 3: Calculate the Dose per Hour
Dose in mg/min: 2.34 mg/min
Minutes in an Hour: 60 min
Dose in mg/hr: 2.34 mg/min x 60 min/hr = 140.4 mg/hr
Step 4: Determine the Concentration of the Esmolol Solution
Available Esmolol: 2,500 mg
Solution Volume: 250 mL
Concentration: 2,500 mg / 250 mL = 10 mg/mL
Step 5: Calculate the Infusion Rate in mL/hr
Dose in mg/hr: 140.4 mg/hr
Concentration: 10 mg/mL
Infusion Rate: 140.4 mg/hr / 10 mg/mL = 14.04 mL/hr
Step 6: Round to the Nearest Whole Number
The calculated rate is 14.04 mL/hr.
Rounded to the nearest whole number: 14 mL/hr
Answer: 14 mL/hr
Nursing Test Bank
Naxlex Comprehensive Predictor Exams
Related Questions
Correct Answer is ["60"]
Explanation
Understanding the Problem
Order: Lidocaine 4 mg/min
Available Solution: Lidocaine 1 g in 250 mL of D5W
Desired Rate: mL/hr
Step 1: Convert Grams (g) to Milligrams (mg)
1 g = 1000 mg
Available Lidocaine: 1 g x 1000 mg/g = 1000 mg
Step 2: Determine the Concentration of the Lidocaine Solution
Available Lidocaine: 1000 mg
Solution Volume: 250 mL
Concentration: 1000 mg / 250 mL = 4 mg/mL
Step 3: Calculate the Infusion Rate in mL/min
Ordered Dose: 4 mg/min
Concentration: 4 mg/mL
Infusion Rate: 4 mg/min / 4 mg/mL = 1 mL/min
Step 4: Convert Infusion Rate to mL/hr
Infusion Rate: 1 mL/min
Minutes in an Hour: 60 min
Infusion Rate in mL/hr: 1 mL/min x 60 min/hr = 60 mL/hr
Step 5: Round to the Nearest Whole Number
The calculated rate is 60 mL/hr, which is already a whole number.
Final Answer: 60 mL/hr
Correct Answer is ["0.4"]
Explanation
Identify the Desired Dose and Available Concentration:
Desired Dose: 0.4 mg of naloxone
Available Concentration: 1 mg/mL (This means there is 1 mg of naloxone in every 1 mL of solution)
Set up the Calculation:
We need to find the volume (in mL) that contains the desired dose of 0.4 mg.
We can use the following formula:
Volume (mL) = Desired Dose (mg) / Available Concentration (mg/mL)
Plug in the Values and Calculate:
Volume (mL) = 0.4 mg / 1 mg/mL
Volume (mL) = 0.4 mL
Round to the Nearest Tenth (if necessary):
0.4 mL
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