If I add water to 250 mL of a 0.4 M **Tang** solution until the final volume is 500 mL, what will the molarity of the diluted solution be?

To find the molarity of the diluted solution, you can use the concept of dilution, where the initial moles of solute remain constant, even though the solution volume changes. The formula for dilution is:

\[
M_1 V_1 = M_2 V_2
\]

where:
- \( M_1 \) is the initial molarity,
- \( V_1 \) is the initial volume,
- \( M_2 \) is the final molarity, and
- \( V_2 \) is the final volume.

Given:
- \( M_1 = 0.4 \, \text{M} \)
- \( V_1 = 250 \, \text{mL} \)
- \( V_2 = 500 \, \text{mL} \)

We want to find \( M_2 \).

1. Substitute the values into the formula:

   \[
   (0.4 \, \text{M})(250 \, \text{mL}) = M_2 (500 \, \text{mL})
   \]

2. Solve for \( M_2 \):

   \[
   M_2 = \frac{(0.4 \times 250)}{500}
   \]

3. Calculate \( M_2 \):

   \[
   M_2 = \frac{100}{500} = 0.2 \, \text{M}
   \]

### Answer:
The molarity of the diluted solution is **0.2 M**.

Would you like more details on dilution calculations, or do you have any other questions?

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Here are some follow-up questions for further exploration:
1. What would be the final molarity if the final volume were 1 L instead of 500 mL?
2. How would you calculate the amount of solute in grams in the original solution?
3. What is the effect of dilution on the pH of an acidic solution?
4. How would the process change if you started with a solid solute instead of a liquid solution?
5. Can you calculate the new concentration if you added a different solvent instead of water?

**Tip:** Remember, dilution decreases concentration proportionally to the increase in volume, keeping the amount of solute constant.

If I add water to 250 mL of a 0.4 M Tang solution until the final volume is 500 mL, what will the molarity of the diluted solution be?

Discover how to calculate the final molarity after diluting a 0.4 M Tang solution from 250 mL to 500 mL. This solution covers key concepts in dilution, proportionality, and molarity calculations, suitable for high school chemistry students in Grades 9-11.

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