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Solution Dilution Calculator

Solution Dilution Calculator is a tool used to calculate the volume of concentrate to achieve a specified volume and concentration. To prepare a solution with a specific molar concentration based on mass, use Mass Molarity Calculator.

Stock concentration:
Desired final volume:
Desired concentration:
Clear                                            0 liters (L)

Solutions with small concentrations are often prepared by diluting a more concentrated stock solution. A known volume of the stock solution is transferred to a new container and brought to a new volume. Since the total amount of solute is the same before and after dilution, we know that


where Co is the concentration of the stock solution, Vo is the volume of the stock solution being diluted, Cd is the concentration of the dilute solution, and Vd is the volume of the dilute solution. Again, the type of glassware used to measure Vo and Vd depends on how exact the solution's concentration must be known.

For example, a laboratory procedure calls for 250 mL of an approximately 0.10 mol/L solution of potassium phenolate, and we would prepare this solution using a stock solution of concentrated potassium phenolate (14.8 mol/L). Substituting known volumes in equation

250 mL=0.25L
14.8 mol/L* Vo =0.10 mol/L*0.25 L
Vo =1.69*10-3 L

and solving for Vo gives 1.69*10-3 L, or 1.69 mL. Since we are trying to make a solution that is approximately 0.10 mol/L potassium phenolate, we can measure the appropriate amount of concentrated potassium phenolate solution using a graduated cylinder, transfer the potassium phenolate solution to a beaker, and add sufficient solvent to bring the total solution volume to approximately 250 mL.

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