A nurse needs to infuse esmolol to a patient weighing 65 kg. The dose on hand is 2,500 mg esmolol in 250 mL of fluid. The patient requires a dose of 200 mcg/kg/min to control a hypertensive crisis. Which rate should the nurse calculate to infuse this medication? Round to the nearest whole number.
78 mL/hr
105 mL/hr
60 mL/hr
16 mL/hr
The Correct Answer is A
To calculate the infusion rate, we need to convert the patient's weight from kilograms to milligrams.
Patient's weight: 65 kg
Dose required: 200 mcg/kg/min
First, let's calculate the total dose required for the patient per minute: Dose required = 200 mcg/kg/min * 65 kg
= 13,000 mcg/min
Next, we need to convert the dose from micrograms to milligrams:
13,000 mcg/min = 13 mg/min
Now, let's determine the infusion rate. We have 2,500 mg of esmolol in 250 mL of fluid. Therefore, the concentration of esmolol in the fluid is:
Concentration = 2,500 mg / 250 mL
= 10 mg/mL
To find the infusion rate, we divide the dose required by the concentration: Infusion rate = 13 mg/min / 10 mg/mL
= 1.3 mL/mi
Since the options are in mL/hr, we need to convert the rate from mL/min to mL/hr:
1.3 mL/min * 60 min/hr = 78 mL/hr
Therefore, the correct answer is:
a. 78 mL/hr
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Related Questions
Correct Answer is D
Explanation
To answer this question, we need to calculate the infusion rate in mL per hour by using the following formula²:
Infusion rate (mL/h) = Dose (mcg/kg/min) × Weight (kg) × 60 min/h × Volume (mL) / Concentration (mcg/mL)
In this case, the infusion rate is:
Infusion rate (mL/h) = 3 mcg/kg/min × 70 kg × 60 min/h × 250 mL / 2500 mg
We need to convert lb to kg by dividing by 2.2
Infusion rate (mL/h) = 3 mcg/kg/min × (154 lb / 2.2 kg/lb) × 60 min/h × 250 mL / 2500 mg
We need to convert mg to mcg by multiplying by 1000:
Infusion rte (mL/h) = 3 mcg/kg/min × (154 lb / 2.2 kg/lb) × 60 min/h × 250 mL / (2500 mg × 1000 mcg/mg)
We can simplify the equation by canceling out some units and numbers:
Infusion rate (mL/h) = 3 × 154 × 250 / (2.2 × 2500 × 1000)
We can use a calculator to get the final answer:
Infusion rate (mL/h) = 12.6363636363636 mL/h
Correct Answer is B
Explanation
Dextrose 5% in water (D5W) is an IV fluid that contains **5 grams of dextrose** per 100 mL of water². To calculate how many grams of dextrose are in 500 mL of D5W, you can use a simple proportion:
5 g / 100 mL = x g / 500 mL
Cross-multiply and solve for x:
x = (5 g * 500 mL) / 100 mL
x = 25 g
Therefore, there are **25 grams of dextrose** in 500 mL of D5W.
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