Medical Dosage Calculation for IV Administration

MedicineDrug Dosage CalculationMedium

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The recommended dosage of IV medication is 40 mg/kg/day divided q6h. The patient weighs 10 kg. The amount for one dose is ________.

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Step by Step Written Solution

1
Step 1

In this problem, we're asked to calculate the amount of medication for a single dose based on a weight-based daily recommendation.

IV Dosage Calculation

2
Step 2

Let's identify the key information given. The recommended daily dosage is 100 milligrams per kilogram per day.


Given Data:

$$Dosage = 100 \text{ mg/kg/day}$$
3
Step 3

We also know the total daily dose is divided every six hours, which is indicated by the abbreviation q 6 h.

$$Frequency = q6h$$
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Step 4

And finally, the patient's weight is provided as 10 kilograms.

$$Weight = 10 \text{ kg}$$
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Step 5

Our first major step is to calculate the total amount of medication the patient needs for a full 24-hour day.

Step 1: Total Daily Dose

$$Total \text{ Daily Dose} = \text{Dosage} \times \text{Weight}$$
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Step 6

Substituting our values, we multiply 100 milligrams per kilogram per day by 10 kilograms.

7
Step 7

The kilograms cancel out, leaving us with a total of 1000 milligrams per day.

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About This Question

Subject
Medicine
Topic
Drug Dosage Calculation
Difficulty
Medium
Question Type
Open Ended

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