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Dilution Factor Calculator - Molarity, Percent

Meant to be used in both the teaching and research laboratory, this calculator (see below) can be utilized to perform **dilution factor** calculations when working with __molar__ or __percent (%)__ solutions. See our Molar Solution Concentration Calculator for a definition of molarity and molar solutions. See also our Percent (%) Solutions Calculator for a definition of percent solutions. When a concentrated solution is diluted, the dilution factor may be expressed as the ratio of the concentration of stock solution to the concentration of the diluted solution. The dilution factor may also be expressed as the ratio of the volume of the final diluted solution to the initial volume removed from the stock solution. See below for the dilution factor equations.

For example, if a 100 mM stock solution is diluted to yield a 10 mM solution, the resulting dilution factor is 10. For this particular dilution, it can also be said that the stock solution was diluted 10-**fold**. As another example, if 100 mL of a stock solution is diluted with solvent/diluent to a total, final volume of 1000 mL, the resulting dilution factor is 10. It can also be said that the stock solution was diluted 10-**fold**. Therefore, a 10-fold dilution is the same as a dilution factor of 10. Therefore, dilution by any factor *X* is equivalent to *X*-fold dilution.

Please note that the dilution factor calculator below uses the metric unit for volume (fL, pL, nL, μL, mL, and L). If you wish to convert these units to other volume units, please use our Unit Conversion Calculator.

If you are starting with the solid material and wish to make a solution with the concentration expressed in molarity, use our Molar Solution Concentration Calculator.

If you are starting with the solid or liquid material and wish to make a weight/volume %, weight/weight %, or volume/volume % solution, use our Percent Solution Concentration Calculator (w/v %, w/w %, and w/v %).

Additional dilution factor calculators are also available and are suited to more specialized applications (see here).

Dilution factor equation - molarity, percent

is the factor by which the stock solution is diluted. It may be expressed as the ratio of the volume of the final diluted solution (*Dilution Factor**V*_{2}) to the initial volume removed from the stock solution (*V*_{1}), as shown in the equation above. Dilution factor may also be expressed as the ratio of the concentration of stock solution (*C*_{1}) to the concentration of the final diluted solution (*C*_{2}).is the concentration of the stock solution.*Stock Solution Concentration (C*_{1})is the volume to be removed (i.e., aliquoted) from the concentrated stock solution.*Volume from Stock Solution (V*_{1})is the concentration of the final diluted solution.*Final Diluted Solution Concentration (C*_{2})is the final volume of the diluted solution. This is the volume that results after the volume from the stock solution (*Final Solution Volume (V*_{2})*V*_{1}) has been diluted with solvent or diluent to achieve a total diluted volume of the final solution (*V*_{2}). Please note that the final volume refers to the total solution volume, which is the combined volume of the stock solution and the volume of solvent/diluent used for dilution.

Dilution factor calculator - molarity, percent

Each calculator cell shown below corresponds to a term in the formula presented above. Two main options are available for this calculator: the dilution factor may either be calculated or specified.

For convenience, this calculator allows you to select different volume and concentration units, and the necessary conversions are carried out for you to obtain the value of the blank cell(s) in the desired unit. When working with percent (%) solutions, the concentration unit must be % for both the stock concentrated solution and final diluted solution.

Comments and/or preparation instructions

Relevant comments and/or instructions will appear here after a calculation is performed.

Posted: Tuesday, December 12, 2017

Last updated: Saturday, January 13, 2018

Last updated: Saturday, January 13, 2018