Drug L is supplied 500mcg/2ml. Your patient is to receive 0.6mg. How many milliliters should you administer using a 3 ml syringe?

To solve this, we need to determine how many milliliters of Drug L to administer to deliver the correct dosage of 0.6 mg.

### Step 1: Convert milligrams (mg) to micrograms (mcg)
1 mg = 1,000 mcg, so:
\[
0.6 \, \text{mg} = 0.6 \times 1,000 = 600 \, \text{mcg}
\]

### Step 2: Use the concentration of the drug to find how many mL to administer
The concentration of Drug L is given as 500 mcg in 2 mL. Therefore, in 1 mL, the concentration is:
\[
\frac{500 \, \text{mcg}}{2 \, \text{mL}} = 250 \, \text{mcg/mL}
\]

Now, to find how many mL contains 600 mcg, use the formula:
\[
\text{Volume (mL)} = \frac{\text{Dose (mcg)}}{\text{Concentration (mcg/mL)}}
\]
\[
\text{Volume (mL)} = \frac{600 \, \text{mcg}}{250 \, \text{mcg/mL}} = 2.4 \, \text{mL}
\]

### Conclusion:
You should administer **2.4 mL** of the drug using the 3 mL syringe to deliver 0.6 mg of Drug L.

Would you like further details on this? Here are some related questions:

1. How do you calculate drug dosages when different units are given (e.g., mg to mcg)?
2. What is the best practice for using a 3 mL syringe for precise dosing?
3. How can you verify the correct concentration of a drug before administration?
4. What factors should be considered in dosing for pediatric or elderly patients?
5. What are the risks of incorrect dosage calculations in clinical practice?

**Tip:** Always double-check conversions between units (mg to mcg, etc.) to avoid dosage errors.

Learn how to calculate the correct dosage for Drug L, supplied at 500mcg/2ml, when your patient is to receive 0.6mg. This step-by-step guide covers unit conversions and proportions, suitable for medical training and nursing students.

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