To determine how many milliliters (mL) of water are needed to add to the 60 mL of concentrated solution in order to dilute it to a total volume of 150 mL, follow these steps:
1. Understand the volumes involved:
- You start with a concentrated solution with a volume of 60 mL.
- You need to achieve a final volume of 150 mL after adding water.
2. Identify the missing value:
- To find out how much water to add, you need to calculate the difference between the final volume and the initial concentrated volume.
3. Set up the equation:
[tex]\[
\text{Final Volume} = \text{Concentrated Volume} + \text{Volume of Water to Add}
\][/tex]
- Here, the final volume is 150 mL and the initial concentrated volume is 60 mL.
4. Solve for the Volume of Water to Add:
[tex]\[
150 \text{ mL} = 60 \text{ mL} + \text{Volume of Water to Add}
\][/tex]
Subtract 60 mL from both sides of the equation to isolate the Volume of Water to Add:
[tex]\[
\text{Volume of Water to Add} = 150 \text{ mL} - 60 \text{ mL}
\][/tex]
Simplifying this gives:
[tex]\[
\text{Volume of Water to Add} = 90 \text{ mL}
\][/tex]
5. Conclusion:
- You need to add 90 mL of water to the 60 mL of concentrated solution to reach a total volume of 150 mL.
Hence, the amount of water you should add is 90 mL.
