Sure! Let's solve this problem step-by-step.
1. Initial Volume Conversion:
- The given initial volume of the potassium fluoride (KF) solution is 93.2 mL.
- We need to convert this volume from milliliters to liters since the final answer should be in liters.
- There are 1000 milliliters (mL) in a liter (L).
Therefore,
[tex]\[
\text{Initial volume in liters} = \frac{93.2 \text{ mL}}{1000} = 0.0932 \text{ L}
\][/tex]
2. Volume of Water Added:
- We are adding 3.92 liters (L) of water to the initial solution.
3. Calculate Total Volume:
- To find the volume of the diluted solution, add the volume of the initial KF solution to the volume of water added.
[tex]\[
\text{Total volume} = \text{Initial volume in liters} + \text{Volume of water added}
\][/tex]
[tex]\[
\text{Total volume} = 0.0932 \text{ L} + 3.92 \text{ L} = 4.0132 \text{ L}
\][/tex]
So, the final volume of the diluted solution is:
[tex]\[
\boxed{4.0132 \text{ L}}
\][/tex]
