How much water would I need to add to 500 mL of a 2.5 M **Kool-Aid** solution to make a 1.2 M solution?

To dilute a solution, we can use the dilution formula:

\[
C_1 V_1 = C_2 V_2
\]

where:
- \( C_1 \) is the initial concentration (2.5 M),
- \( V_1 \) is the initial volume (500 mL),
- \( C_2 \) is the final concentration (1.2 M),
- \( V_2 \) is the final volume after dilution.

We need to find \( V_2 \), the final volume, then calculate the amount of water to add.

### Step 1: Use the Dilution Formula
Plugging in the values we have:

\[
2.5 \times 500 = 1.2 \times V_2
\]

This simplifies to:

\[
V_2 = \frac{2.5 \times 500}{1.2} = \frac{1250}{1.2} \approx 1041.67 \, \text{mL}
\]

### Step 2: Calculate the Amount of Water to Add
The initial volume is 500 mL, and the final volume is approximately 1041.67 mL. Therefore, the amount of water to add is:

\[
1041.67 - 500 = 541.67 \, \text{mL}
\]

### Answer
You would need to add approximately **541.67 mL of water** to dilute the solution to a 1.2 M concentration.

Would you like further clarification, or do you have additional questions on this?

---

Here are some related questions you might find interesting:

1. How would the amount of water change if the final concentration were different?
2. What happens to the concentration if you add 300 mL of water instead?
3. How would you approach the problem if you had only a fixed amount of water?
4. What is the general effect of dilution on the properties of a solution?
5. How would the process differ if using a solute that changes its dissociation in water?

**Tip:** Always remember that diluting a solution only changes its concentration, not the amount of solute present.

How much water would I need to add to 500 mL of a 2.5 M Kool-Aid solution to make a 1.2 M solution?

Learn how to calculate the amount of water needed to dilute a 2.5 M Kool-Aid solution to a 1.2 M concentration using the dilution formula. In this example, 541.67 mL of water is required to adjust the concentration. Ideal for high school chemistry students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation