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 ["1.9"]
Explanation
Order: Dexamethasone 0.5 mg/kg/day IM, divided equally every 6 hours
Client Weight: 132 lbs
Available Solution: Dexamethasone 4 mg/mL
Desired Dose: mL per dose
Step 1: Convert Client Weight to Kilograms (kg)
1 kg = 2.2 lbs
Client Weight in kg: 132 lbs / 2.2 lbs/kg = 60 kg
Step 2: Calculate the Total Daily Dose
Ordered Dose: 0.5 mg/kg/day
Client Weight: 60 kg
Total Daily Dose: 0.5 mg/kg/day x 60 kg = 30 mg/day
Step 3: Determine the Number of Doses per Day
Doses are given every 6 hours.
Hours in a Day: 24 hours
Number of Doses: 24 hours / 6 hours/dose = 4 doses
Step 4: Calculate the Dose per Administration
Total Daily Dose: 30 mg/day
Number of Doses: 4 doses
Dose per Administration: 30 mg / 4 doses = 7.5 mg/dose
Step 5: Calculate the Volume to Administer per Dose
Dose per Administration: 7.5 mg
Concentration: 4 mg/mL
Volume to Administer: 7.5 mg / 4 mg/mL = 1.875 mL
Step 6: Round to the Nearest Tenth
The calculated volume is 1.875 mL.
Rounded to the nearest tenth: 1.9 mL
Answer: 1.9 mL
Correct Answer is ["30"]
Explanation
Understanding the Problem
Order: Potassium gluconate 40 mEq PO
Available Solution: Potassium gluconate liquid 20 mEq/15 mL
Desired Dose: mL to administer
Step 1: Set Up the Calculation
We need to find the volume (in mL) that contains the ordered dose (40 mEq). We can do this by setting up a proportion or using the formula:
Volume (mL) = (Ordered Dose (mEq) / Concentration (mEq/mL))
Step 2: Determine the Concentration
Available Concentration: 20 mEq / 15 mL
Step 3: Perform the Calculation
Ordered Dose: 40 mEq
Concentration: 20 mEq / 15 mL
Volume: (40 mEq) / (20 mEq / 15 mL) = (40 mEq X 15 mL) / 20 mEq
We can simplify this by dividing 40 by 20:
Volume: (2 X 15 mL) = 30 mL
Step 4: Round to the Nearest Whole Number
The result is 30 mL, which is already a whole number.
Answer: 30 mL
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