1. Solution Dilutions

2. Dilution In a dilution water is added. volume increases.
concentration decreases.
Copyright © by Pearson Education, Inc.

3. Comparing Initial and Diluted Solutions
In the initial and diluted solution:
the moles of solute are the same.
the concentrations and volumes are related by the following equation:
M1V1 = M2V2
initial diluted

4. Moles don’t change!

5. Dilution Calculations
What volume of a 2.00 M HCl solution can be
prepared by diluting 25.0 mL of 14.0 M (m/v) HCl solution?
Prepare a table:
M1= M V1 = mL
M2= M V2 = ?
Solve dilution equation for unknown and enter values:
M1V1 = M2V2
V = V1M1 = (25.0 mL)(14.0M) = mL
M M

6. Learning Check
What is the molarity of a solution prepared by diluting 10.0 mL of 9.00M NaOH to 60.0 mL?

7. Solution
What is the molarity of a solution prepared by diluting 10.0 mL of 9.00M NaOH to 60.0 mL?
Prepare a table:
M1= M V1 = mL
M2= ? V2 = mL
Solve dilution equation for unknown and enter values:
M1V1 = M2V2
M = M1 V1 = (10.0 mL)(9.00M) = 1.50 M
V mL

8. Learning Check What is the final volume (mL) of 15.0 mL of a 1.80 M
KOH diluted to give a M solution?

9. Solution What is the final volume (mL) of 15.0 mL of a 1.80 M
KOH diluted to give a M solution?
Prepare a table:
M1= M V1 = mL
M2= M V2 = ?
Solve dilution equation for V2 and enter values:
M1V1 = M2V2
V = M1V1 = (1.80 M)(15.0 mL) = mL
M M

10. Whiteboarding! In a moment I will assign you a number between 1-6
Go to your station and using a whiteboard, solve the following 5 questions!

11. Dilution Example #1
100.0 mL of 5.0 M copper(II) sulfate solution is added to mL of water to achieve what concentration copper(II) sulfate solution?

12. Dilution Example #2
There are 3.00 L of M HF L of this is poured out, what is the concentration of the remaining HF? ANS: The concentration remains M, both volume and moles are removed when the solution is poured out. Just like the density of a copper penny does not change if it is cut in half, the concentration of a solution does not change if it is cut in half.

13. Dilution Example #3
4.5 L of a 2.00 M solution of CuCl2 is boiled until the final volume of the solution is 1.4 L. What is the final molarity?

14. M= total mol/ total volume.
Dilution Example #4
Calculate the final concentration if 2.00 L of 3.00 M of NaCl and 4.00 L of 1.50M of NaCl are mixed.
Note: For this, you must use the equation:
M= total mol/ total volume.
So you must find the total number of moles to do this calculation.

15. Dilution Example #4
Calculate the final concentration if 2.00 L of 3.00 M of NaCl and 4.00 L of 1.50M of NaCl are mixed.

16. Dilution Example #5
What concentration results from mixing 400. mL of 2.0 M HCl with 600. mL of 3.0 M HCl?

17. Dilutions Worksheet Complete the Dilution Worksheet AND
Hebden p Q’s EVEN
Upcoming dates:
Next Class: Molarity/Dilution Quiz