A physician orders a medication 140 mcg/kg/min for a patient weighing 60 kg. The infusion rate is 10 mL/h. How many milligrams should the nurse administer to the patient?
147.8 mg
670.2 mg
11.2 mg
67.2 mg
The Correct Answer is D
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
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Related Questions
Correct Answer is A
Explanation
To calculate the dose in milligrams per hour, we need to convert the patient's weight from pounds to kilograms.
Patient's weight: 110 lb
To convert pounds to kilograms, we use the conversion factor: 1 lb = 0.4536 kg
Patient's weight in kilograms: 110 lb * 0.4536 kg/lb = 49.895 kg (rounded to 3 decimal places
The physician has ordered Dobutamine at a dose of 10 mcg/kg/min.
Dose required = 10 mcg/kg/min * 49.895 kg = 498.95 mcg/min
Next, we need to convert the dose from micrograms to milligrams.
498.95 mcg/min = 0.49895 mg/min
Finally, to determine the dose in milligrams per hour, we multiply the dose in milligrams per minute by 60 minutes to convert it to an hourly rate.
0.49895 mg/min * 60 min/hr = 29.937 mg/hr (rounded to 3 decimal places)
Therefore, the correct answer is:
a. 30 mg/hr
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
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