In 25 mL of a solution for injection, there are 4 mg of the drug.
It the dose to be administered to a patient is 200 mcg. What
quantity (in fl oz.) of this solution should be used?

To determine the quantity of solution needed in fluid ounces, we'll follow these steps:

1. **Convert the dose from micrograms (mcg) to milligrams (mg)**:
   \[
   200 \, \text{mcg} = \frac{200}{1000} \, \text{mg} = 0.2 \, \text{mg}
   \]

2. **Determine the concentration of the drug in the solution**:
   \[
   \text{Concentration} = \frac{4 \, \text{mg}}{25 \, \text{mL}} = 0.16 \, \text{mg/mL}
   \]

3. **Calculate the volume of solution required to administer 0.2 mg of the drug**:
   \[
   \text{Volume required (mL)} = \frac{0.2 \, \text{mg}}{0.16 \, \text{mg/mL}} = 1.25 \, \text{mL}
   \]

4. **Convert the volume from milliliters (mL) to fluid ounces (fl oz)** using the conversion factor \( 1 \, \text{fl oz} = 29.5735 \, \text{mL} \):
   \[
   \text{Volume in fl oz} = \frac{1.25 \, \text{mL}}{29.5735 \, \text{mL/fl oz}} \approx 0.042 \, \text{fl oz}
   \]

Therefore, the quantity of the solution to be administered is approximately **0.042 fluid ounces**.

Would you like more details or have any questions? 

Here are some related questions:

1. How do you convert between micrograms, milligrams, and grams?
2. What are the different concentration units commonly used in pharmacology?
3. How do you calculate dosages when different concentration units are given?
4. How does temperature affect the volume of liquid solutions in precise measurements?
5. What is the significance of precise dosage measurements in drug administration?

**Tip:** Always double-check unit conversions, especially when working with medication dosages, as small errors can have significant impacts.

In 25 mL of a solution for injection, there are 4 mg of the drug. If the dose to be administered to a patient is 200 mcg, what quantity (in fl oz.) of this solution should be used?

Learn how to calculate the quantity of a drug solution required in fluid ounces. This problem involves converting micrograms to milligrams, determining the concentration, and converting volume to fluid ounces. Suitable for students in Grades 10-12 and those studying pharmacology.

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