9l of a 10% saline solution was mixed with 1l of pure water.find the concentration of the new mixture

To find the concentration of the new mixture, we will calculate how the amount of salt in the solution changes when 9 liters of a 10% saline solution is mixed with 1 liter of pure water.

1. **Step 1: Determine the amount of salt in the original solution.**

Since the original solution is 10% saline, 10% of the 9 liters is salt. So, the amount of salt in the 9 liters of solution is:
\[
\text{Amount of salt} = 10\% \times 9 \text{ liters} = 0.10 \times 9 = 0.9 \text{ liters of salt}.
\]

2. **Step 2: Determine the total volume of the new solution.**

After adding 1 liter of pure water to the 9 liters of saline solution, the total volume becomes:
\[
\text{Total volume} = 9 \text{ liters} + 1 \text{ liter} = 10 \text{ liters}.
\]

3. **Step 3: Calculate the concentration of the new solution.**

The concentration of the new mixture is the amount of salt divided by the total volume:
\[
\text{New concentration} = \frac{\text{Amount of salt}}{\text{Total volume}} = \frac{0.9 \text{ liters of salt}}{10 \text{ liters}} = 0.09 \text{ or } 9\%.
\]

Thus, the concentration of the new mixture is **9%**.

Would you like further details on any of the steps?

Here are 5 related questions:
1. What if the saline solution was 20% instead of 10%?
2. How would the concentration change if you added more water, say 2 liters instead of 1?
3. What would the concentration be if only 0.5 liters of water was added?
4. How do you calculate the concentration when mixing two solutions with different saline concentrations?
5. What happens to the concentration when mixing a saline solution with another saline solution instead of pure water?

**Tip:** When diluting a solution by adding pure water, the concentration always decreases.

9l of a 10% saline solution was mixed with 1l of pure water. Find the concentration of the new mixture.

Learn how to calculate the concentration of a new mixture when 9 liters of a 10% saline solution are mixed with 1 liter of pure water. This step-by-step solution explains the process of determining the amount of salt in the original solution, calculating the total volume, and finding the final concentration. Suitable for Grades 6-8.

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