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 find the answer, we need to convert the units of the medication order and the infusion rate to the same units. We can use the following conversions:
1 mcg = 0.001 mg 1 kg = 1000 g 1 min = 60 s 1 h = 3600 s
The medication order is 140 mcg/kg/min, which means the patient needs 140 mcg of medication per kilogram of body weight per minute. The patient weighs 60 kg, so we multiply 140 mcg by 60 kg to get the total amount of medication per minute:
140 mcg/kg/min x 60 kg = 8400 mcg/min
We then convert this to milligrams by dividing by 1000:
8400 mcg/min / 1000 = 8.4 mg/min
The infusion rate is 10 mL/h, which means the patient receives 10 mL of fluid per hour. We convert this to minutes by dividing by 60:
10 mL/h / 60 = 0.167 mL/min
We can now find the concentration of the medication in the fluid by dividing the amount of medication per minute by the amount of fluid per minute:
8.4 mg/min / 0.167 mL/min = 50.3 mg/mL
This means that for every milliliter of fluid, there are 50.3 milligrams of medication. To find how many milligrams of medication are in one hour, we multiply the concentration by the infusion rate:
50.3 mg/mL x 10 mL/h = 503 mg/h
This is the total amount of medication that the patient receives in one hour. To find how many milligrams are in one dose, we divide this by the number of doses per hour, which is one:
503 mg/h / 1 dose/h = 503 mg/dose
This is the final answer, but we need to round it to the nearest tenth, as per the instructions: 503 mg/dose ≈ 67.2 mg/dose
Correct Answer is B
Explanation
The dose of the medicine per day is 1.8 mcg.
This answer is correct because it is based on a simple multiplication calculation. The nurse should follow these steps to calculate the dose of the medicine per day:
1) Divide 24 hours by the frequency of the dose to get the number of doses per day, as follows:
24 / 4 = 6
Therefore, the client will receive 6 doses of the medicine per day.
2) Multiply the number of doses per day by the amount of each dose to get the total dose per day, as follows:
6 x 0.3 mcg = 1.8 mcg
Therefore, the dose of the medicine per day is 1.8 mcg.
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