Medication with strength 2 g/4 mL has been ordered at 20mg/kg. The patient weighs 276lb. How much should be administered?

To determine how much medication should be administered, we need to go step by step:

### Step 1: Convert the patient's weight from pounds (lb) to kilograms (kg).
Since 1 kg = 2.20462 lb, we convert:

\[
\text{Weight in kg} = \frac{276 \, \text{lb}}{2.20462} \approx 125.19 \, \text{kg}
\]

### Step 2: Calculate the total dose in mg.
The prescribed dosage is 20 mg/kg, so for a patient weighing 125.19 kg:

\[
\text{Total dose (mg)} = 20 \, \text{mg/kg} \times 125.19 \, \text{kg} \approx 2503.8 \, \text{mg}
\]

### Step 3: Convert the total dose to milliliters (mL).
The medication strength is 2 g/4 mL. First, convert grams to milligrams (since 1 g = 1000 mg):

\[
\text{Strength} = \frac{2 \, \text{g}}{4 \, \text{mL}} = \frac{2000 \, \text{mg}}{4 \, \text{mL}} = 500 \, \text{mg/mL}
\]

Now, calculate the volume (in mL) required to deliver 2503.8 mg of the medication:

\[
\text{Volume (mL)} = \frac{2503.8 \, \text{mg}}{500 \, \text{mg/mL}} \approx 5.01 \, \text{mL}
\]

### Answer:
The patient should be administered approximately **5.01 mL** of the medication.

Would you like further details or have any questions?

Here are 5 related questions:
1. How would the calculation change if the medication strength were 1 g/2 mL?
2. What is the process for adjusting the dose for a patient with renal impairment?
3. How would you calculate the dose for a pediatric patient weighing 40 kg?
4. What are the consequences of overdosing this particular medication?
5. How does body weight affect medication absorption rates?

**Tip**: Always ensure you double-check both unit conversions and the medication strength to avoid dosing errors.

Learn how to calculate the correct dosage for a medication with strength 2 g/4 mL ordered at 20 mg/kg for a 276 lb patient. This step-by-step guide covers unit conversions, calculating total dosage, and determining the required volume of medication. Ideal for high school and college-level students in pharmacology or medicine.

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