Question

Solution a has the same total as solution B if solution a has a higher concentration then solution be how do the two solutions compare?

Answer 1

If Solution A has a higher concentration than Solution B but they have the same total amount (volume or mass), it implies that Solution A must have a smaller volume compared to Solution B.

To understand this better, let's define concentration as the amount of solute divided by the volume of the solution.

- For Solution A with a higher concentration, we can say:
\[
\text{Concentration A} = \frac{\text{Amount of solute A}}{\text{Volume A}}
\]

- For Solution B with a lower concentration:
\[
\text{Concentration B} = \frac{\text{Amount of solute B}}{\text{Volume B}}
\]

If both solutions have the same total amount of solute, then:
\[
\text{Amount of solute A} = \text{Amount of solute B}
\]

Since Solution A has a higher concentration, it follows that:
\[
\text{Volume A} < \text{Volume B}
\]

In summary:
- Solution A has a higher concentration than Solution B.
- Solution A has a smaller volume than Solution B.
- Both solutions contain the same total amount of solute.