EXAMPLE Making Solutions from More Concentrated Solutions:

How would you make 125 mL of a 0.750 M NaOH solution from a 2.00 M NaOH solution?

Solution:  

We need to know the volume of 2.00 M NaOH to be diluted. We recognize this question as a dilution problem because it mentions two concentrations of the same substance and refers to the creation of a more dilute solution from a more concentrated solution. We can use the dilution equation for our calculation.

MC = 2.00 M      VC = ?       MD = 0.750 M      VD = 125 mL

MCVC = MDVD   

 

We could also use the dimensional analysis approach.

                         = 46.9 mL of the more concentrated solution

Using this information, we would make the solution following these steps:

  • Add 46.9 mL of 2.00 M NaOH into a 250-mL graduated cylinder.
  • Add water to the cylinder until the total volume is 125 mL. 

Click here to see a sample study sheet for this task.

Click here to see an exercise that will allow your to try this task yourself.

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