Determine the % (v/v) of a solution that contains 40.4 mL of ethanol and 92.9 mL of water.

To determine the % (v/v) of a solution, which is the volume percent, we can use the formula:

\[
\text{Percent (v/v)} = \left( \frac{\text{Volume of solute}}{\text{Total volume of solution}} \right) \times 100
\]

In this case:
- The volume of ethanol (solute) = 40.4 mL
- The volume of water = 92.9 mL
- Total volume of the solution = Volume of ethanol + Volume of water

### Step-by-Step Solution

1. **Calculate the total volume of the solution:**
   \[
   40.4 \, \text{mL} + 92.9 \, \text{mL} = 133.3 \, \text{mL}
   \]

2. **Plug values into the formula:**
   \[
   \text{Percent (v/v)} = \left( \frac{40.4 \, \text{mL}}{133.3 \, \text{mL}} \right) \times 100
   \]

3. **Calculate the result:**
   \[
   \text{Percent (v/v)} \approx 30.3\%
   \]

So, the solution is approximately **30.3% (v/v) ethanol**.

Would you like further details on this solution or have any questions?

Here are some related questions you might find interesting:
1. How would the percent (v/v) change if more ethanol were added to the solution?
2. What is the percent (v/v) if water is the solute instead?
3. How can we calculate percent (m/m) for solutions?
4. Why is percent (v/v) commonly used in liquid mixtures?
5. How would dilution affect the percent (v/v) of a solution?

**Tip:** Remember, in solutions where liquids mix ideally, the volumes are additive, but sometimes in non-ideal cases, mixing can result in a slight volume change due to intermolecular interactions.

Learn how to calculate the volume percent (v/v) of a solution containing 40.4 mL of ethanol and 92.9 mL of water. The calculation involves using the formula Percent (v/v) = (Volume of solute / Total volume) × 100, which results in approximately 30.3% ethanol concentration in the solution. Suitable for high school students.

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