Chemistry: Salt Solutions How much water must be 
evaporated from 32 ounces of a 4% salt solution to make 
a 6% salt solution?

We can solve this problem by setting up an equation based on the concentration of the salt solution before and after evaporation.

### Given:
- Initial amount of solution = 32 ounces
- Initial concentration of salt = 4% (by weight)
- Final concentration of salt = 6% (by weight)
- We need to find the amount of water evaporated.

Let \( x \) be the amount of water evaporated.

### Step 1: Calculate the amount of salt in the original solution
The amount of salt in the solution remains the same before and after evaporation, but the concentration changes.

Since 4% of the 32 ounces is salt:
\[
\text{Amount of salt} = 0.04 \times 32 = 1.28 \text{ ounces of salt}
\]

### Step 2: Set up an equation for the final concentration
After evaporating \( x \) ounces of water, the total amount of solution left will be \( 32 - x \) ounces. The final concentration is 6%, so:
\[
\frac{\text{Amount of salt}}{\text{Final solution}} = 6\%
\]
\[
\frac{1.28}{32 - x} = 0.06
\]

### Step 3: Solve for \( x \)
Now, solve the equation:
\[
1.28 = 0.06 \times (32 - x)
\]
Distribute the 0.06:
\[
1.28 = 1.92 - 0.06x
\]
Subtract 1.92 from both sides:
\[
1.28 - 1.92 = -0.06x
\]
\[
-0.64 = -0.06x
\]
Solve for \( x \):
\[
x = \frac{0.64}{0.06} = 10.67 \text{ ounces}
\]

### Final Answer:
You need to evaporate approximately **10.67 ounces** of water to get a 6% salt solution.

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:
1. How would the equation change if the initial concentration was 5%?
2. What if you wanted to dilute the solution instead of concentrating it?
3. How do you calculate the amount of salt needed for a specific concentration?
4. How would the process differ if the temperature affects salt solubility?
5. Can the solution concentration be increased beyond a certain limit?

**Tip:** When working with percentage solutions, always remember the total mass (or volume) of the solution includes both the solute and solvent.

Chemistry: Salt Solutions How much water must be evaporated from 32 ounces of a 4% salt solution to make a 6% salt solution?

Learn how to calculate the amount of water that needs to be evaporated from a 32-ounce 4% salt solution to achieve a 6% salt concentration. This detailed step-by-step guide covers key algebraic principles and percentage calculations, suitable for Grades 9-10.

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