A 5​% dextrose solution ​(D5​W) contains 5 mg of dextrose per 100 mL of solution. How many milligrams of dextrose is in 2500 mL of a 5​% ​solution? 

To find out how many milligrams of dextrose are in 2500 mL of a 5% dextrose solution (D5W), we need to use the concentration information provided.

### Step-by-Step Solution:

1. **Understand the concentration of the solution:**

   A 5% dextrose solution means there are 5 milligrams (mg) of dextrose per 100 milliliters (mL) of solution.

2. **Set up the ratio for the concentration:**

   Since 5 mg of dextrose are present in 100 mL, we can write the concentration as:

   \[
   \frac{5 \, \text{mg}}{100 \, \text{mL}}
   \]

3. **Calculate the amount of dextrose in 2500 mL:**

   To find the amount of dextrose in 2500 mL, we set up a proportion:

   \[
   \frac{5 \, \text{mg}}{100 \, \text{mL}} = \frac{x \, \text{mg}}{2500 \, \text{mL}}
   \]

   Solving for \(x\), we multiply both sides by 2500 mL:

   \[
   x = \frac{5 \, \text{mg}}{100 \, \text{mL}} \times 2500 \, \text{mL}
   \]

   \[
   x = 5 \times \frac{2500}{100}
   \]

   \[
   x = 5 \times 25
   \]

   \[
   x = 125 \, \text{mg}
   \]

### Answer:

There are **125 milligrams** of dextrose in 2500 mL of a 5% dextrose solution.

Would you like a more detailed explanation, or do you have any further questions?

### Related Questions:

1. How many grams of dextrose are in 1 liter of a 5% dextrose solution?
2. If you need to prepare 500 mL of a 10% dextrose solution, how many grams of dextrose are required?
3. What is the dextrose concentration in a solution if 50 mg of dextrose is dissolved in 500 mL of water?
4. How would the dextrose content change if the solution concentration is increased to 10%?
5. How can you dilute a 10% dextrose solution to make a 5% dextrose solution?

**Tip:** When working with solutions, always double-check concentration units (like mg/mL or g/L) to ensure your calculations are correct.

Discover how many milligrams of dextrose are in 2500 mL of a 5% dextrose solution with a detailed step-by-step solution. This problem involves proportions and unit conversions. Suitable for Grades 7-9 students learning about percentage concentration in solutions.

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