How to Find the Saturated Molarity from the Dilute Molarity

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Molarity is based on the quantity, rather than the weight, of molecules.
Molarity is based on the quantity, rather than the weight, of molecules.

When a given volume of liquid has dissolved as much of a solid as it possibly can, the resulting solution is said to be saturated. One way scientists describe the concentration of a chemical in a solution, whether it is saturated or not, is by using molarity. Molarity is the number of moles of chemical per liter of solution, where a mole stands for 6.02 x 10^23 atoms or molecules of that chemical. If a saturated solution is diluted, you can still calculate its original molarity from the dilute molarity if you know the dilution ratio.

Things You'll Need

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Instructions

    • 1

      Enter the molarity of the dilute solution into the calculator. This value will be expressed in units of moles chemical per liter solution, which is the definition of molarity. For example, the molarity of the dilute solution could be 2.25 molar (M), so you would enter 2.25.

    • 2

      Multiply the value you just entered by the volume of the dilute solution. This volume will typically be in units of liters or milliliters but can be in other units if necessary. In the case of the example, the dilute solution has a total volume of 2.0 liters (L), so the calculation is (2.25 moles/L)(2.0 L) = 4.5 moles.

    • 3

      Divide the value from the previous calculation by the volume of the saturated solution, which was used to produce the dilute solution. The units you use for this volume must match the units you used for volume in the previous calculation. You will obtain a number, which is the molarity of the original saturated solution. In the case of the example, if 0.250 L of the saturated solution had been diluted to make the 2.0 L of the dilute solution, the calculation would be (4.5 moles)/0.250 L = 18 M.

Tips & Warnings

  • The equation used in this procedure is sometimes summarized as C1V1 = C2V2, where C1 and C2 are the saturated and dilute concentrations, V1 is the volume of saturated solution that was diluted and V2 is the volume of dilute solution made.

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