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
To find the rate in mL/hr, you need to calculate the following:
- The concentration of nitroglycerin in the IV solution in mcg/mL
- The infusion rate in mL/hr using the formula: Infusion rate (mL/h) = (Dose (mcg/min) x 60 min/h) / Concentration (mcg/mL)
First, convert the concentration of nitroglycerin from mg to mcg by multiplying by 1000:
125 mg x 1000 = 125,000 mcg
Then, divide the amount of nitroglycerin by the volume of the IV solution to get the concentration in mcg/mL:
125,000 mcg / 500 mL = 250 mcg/mL
Next, plug in the values into the formula for infusion rate:
Infusion rate (mL/h) = (42 mcg/min x 60 min/h) / 250 mcg/mL
Simplify and solve for the infusion rate:
Infusion rate (mL/h) = 10.08 mL/h
Therefore, the nurse should program the IV pump to deliver **10.1 mL/h** to infuse nitroglycerin at 42 mcg/minute.
Correct Answer is B
Explanation
The nurse should administer 60 mL of the supplement in a day.
This answer is correct because it is based on a simple unit conversion and multiplication calculation. The nurse can convert 60 mEq to 20 mL by using the ratio given on the botle label, as follows:
30 mEq / 10 mL = 60 mEq / x mL
Cross-multiplying and solving for x gives:
x = 20 mL
Therefore, the nurse should administer 20 mL of the supplement to deliver 60 mEq of the medication to the patient. Since the order is for three times a day, the nurse should multiply 20 mL by 3 to get the total daily dose, which is 60 mL.
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