Question

Part II Dilution Problems: 18. 3.57 L of a 1.3 M solution of NaBr is diluted to a final concentration of 1.23 M. What is the final volume of the solution?

Answer 1

The final volume of the concentration = 3.77 L.

Step-by-step explanation

Given:

Initial volume, V₁ = 3.57 L

Initial concentration, C₁ = 1.3 M

Final concentration, C₂ = 1.23 M

What to find:

The final volume of the concentration.

Step-by-step solution.

The final volume of the concentration can be calculated using the dilution formula below:

`\begin{gathered} C_1V_1=C_2V_2 \\ \end{gathered}`

Putting the values of the given parameters into the dilution formula, we have:

`\begin{gathered} 1.3\text{ }M*3.57\text{ }L=1.23\text{ }M* V_2 \\ \\ Divide\text{ }both\text{ }sides\text{ }by\text{ }1.23\text{ }M \\ \\ V_2=\frac{1.3\text{ }M*3.57\text{ }L}{1.23\text{ }M}=\frac{4.641\text{ }L}{1.23} \\ \\ V_2=3.77\text{ }L \end{gathered}`

The final volume of the concentration = 3.77 L.