Osmosis Worksheet - Free Printable

Problem Analysis:

The image shows three beakers labeled A, B, and C, each containing a salt solution with different concentrations of salt. The task is to determine the concentration of the resulting mixture if equal volumes of the solutions from all three beakers are combined.

#### Given Data:
- Beaker A: 10% salt solution
- Beaker B: 2% salt solution
- Beaker C: 30% salt solution

#### Assumptions:
1. Equal volumes of solution are taken from each beaker.
2. The volume of the final mixture is the sum of the volumes from the three beakers.

Solution Approach:

To find the concentration of the resulting mixture, we need to calculate the total amount of salt in the combined solution and divide it by the total volume of the mixture.

#### Step 1: Define Variables
Let the volume of solution taken from each beaker be \( V \) (in any consistent unit, such as liters or milliliters).

#### Step 2: Calculate the Amount of Salt in Each Beaker
- From Beaker A (10% salt):
\[
\text{Amount of salt from A} = 0.10 \times V
\]

- From Beaker B (2% salt):
\[
\text{Amount of salt from B} = 0.02 \times V
\]

- From Beaker C (30% salt):
\[
\text{Amount of salt from C} = 0.30 \times V
\]

#### Step 3: Calculate the Total Amount of Salt
The total amount of salt in the mixture is the sum of the amounts of salt from all three beakers:
\[
\text{Total amount of salt} = (0.10 \times V) + (0.02 \times V) + (0.30 \times V)
\]
\[
\text{Total amount of salt} = (0.10 + 0.02 + 0.30) \times V
\]
\[
\text{Total amount of salt} = 0.42 \times V
\]

#### Step 4: Calculate the Total Volume of the Mixture
Since equal volumes \( V \) are taken from each beaker, the total volume of the mixture is:
\[
\text{Total volume} = V + V + V = 3V
\]

#### Step 5: Calculate the Concentration of the Mixture
The concentration of the resulting mixture is the total amount of salt divided by the total volume of the mixture:
\[
\text{Concentration of the mixture} = \frac{\text{Total amount of salt}}{\text{Total volume}}
\]
\[
\text{Concentration of the mixture} = \frac{0.42 \times V}{3V}
\]
\[
\text{Concentration of the mixture} = \frac{0.42}{3}
\]
\[
\text{Concentration of the mixture} = 0.14
\]

#### Step 6: Convert to Percentage
To express the concentration as a percentage:
\[
\text{Concentration of the mixture} = 0.14 \times 100\% = 14\%
\]

Final Answer:

\[
\boxed{14\%}
\]