A patient is receiving an IV of esmolol 2.5 grams in 250 mL of D5W (dextrose 5% in water) infusing at 200 micrograms/kilogram/minute. The patient weighs 110 lb. What rate (in mL/hr) should the nurse program into the IV pump to deliver this dose?
45 mL/hr
60 mL/hr
75 mL/hr
90 mL/hr
The Correct Answer is C
To calculate the rate (in mL/hr) at which the IV pump should be programmed to deliver the dose of esmolol, we can use the following formula:
Rate (mL/hr) = (Dose × Patient weight × 60) / (Concentration × Time)
Given:
Dose = 2.5 grams Patient weight = 110 lb Concentration = 250 mL
Time = 1 hour (since the dose is given per hour)
Converting the patient's weight from pounds to kilograms:
Patient weight = 110 lb ÷ 2.2046 = 49.9 kg
Substituting the values into the formula:
Rate (mL/hr) = (2.5 g × 49.9 kg × 60) / (250 mL × 1)
Simplifying the equation:
Rate (mL/hr) = (2.5 × 49.9 × 60) / 250
Rate (mL/hr) = 74.85
Rounding to the nearest whole number, the nurse should program the IV pump to deliver 75 mL/hr.
Therefore, the correct answer is c. 75 mL/hr.
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Related Questions
Correct Answer is A
Explanation
The IV infusion will be completed at 13:20.
This answer is correct because it is based on a simple division and addition calculation. The nurse can divide the total volume of the infusion by the infusion rate to get the duration of the infusion in hours, as follows:
1000 mL / 250 mL/hr = 4 hr
Therefore, the infusion will take 4 hours to complete. The nurse can add 4 hours to the start time of the infusion to get the end time, as follows:
09:20 + 4:00 = 13:20
Therefore, the IV infusion will be completed at 13:20.
Correct Answer is C
Explanation
the correct rate to administer the maintenance dose is 50 mL/hr.
Step 1: Determine the concentration of magnesium sulfate in the solution.
- There are 40 grams of magnesium sulfate in 1 liter of solution.
- 1 liter = 1000 mL.
Step 2: Calculate the concentration in grams per mL.
- 40 grams ÷ 1000 mL = 0.04 grams per mL.
- Result: 0.04 grams per mL.
Step 3: Determine the required dose per hour.
- The physician ordered 2 grams per hour.
Step 4: Calculate the volume of solution needed to provide 2 grams of magnesium sulfate.
- Required dose (2 grams) ÷ concentration (0.04 grams per mL) = volume in mL.
- 2 grams ÷ 0.04 grams per mL = 50 mL.
- Result: 50 mL.
- The calculated rate is 50 mL/hr.
the correct rate to administer the maintenance dose is 50 mL/hr.
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