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 B
Explanation
The infusion will be completed at 3:15 p.m.
This answer is correct because it is based on a simple division and addition calculation. The nurse should follow these steps to determine when the infusion will be completed:
1) Convert the volume of the fluid from liters to milliliters by multiplying by 1000, since there are 1000 mL in 1 L. The volume of the fluid is 750 mL.
2) Divide the volume of the fluid by the infusion rate to get the duration of the infusion in hours, as follows:
750 mL / 120 mL/hr = 6.25 hr
Therefore, the infusion will take 6.25 hours to complete.
3) Add the duration of the infusion to the start time of the infusion to get the end time, as follows:
9:00 a.m. + 6:25 = 3:15 p.m.
Therefore, the infusion will be completed at 3:15 p.m.
Correct Answer is C
Explanation
To answer this question, the nurse needs to perform the following steps:
1) Convert the patient's weight from pounds and ounces to kilograms, using the conversion factor of 1 pound = 0.45359237 kilograms¹². To do this, first convert the ounces to a fraction of a pound by dividing by 16, then add this fraction to the pounds, and then multiply by the conversion factor. For example:
7 lb, 11.2 oz = 7 + (11.2 / 16) lb
= 7.7 lb
= 7.7 × 0.45359237 kg
= 3.492 kg
2) Calculate the dose of Garamycin in milligrams, using the prescribed dose of 4 mg/kg and the patient's weight in kilograms. To do this, simply multiply the dose per kilogram by the weight in kilograms. For example:
4 mg/kg × 3.492 kg = 13.968 mg
3) Calculate the volume of Garamycin in milliliters, using the reconstituted dosage of 20 mg/10 mL and the dose in milligrams. To do this, use a proportion to find the unknown volume that corresponds to the known dose. For example:
20 mg / 10 mL = 13.968 mg / x mL Cross-multiply and solve for x: 20x = 139.68
x = 6.984 mL
x =7 mL
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