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Molar Solution Concentration Equation

Molar Concentration Equation
  • C is the molar concentration in mol/L (Molar or M). This is also referred to as molarity, which is the most common method of expressing the concentration of a solute in a solution. Molarity is defined as the number of moles of solute dissolved per liter of solution (mol/L = M). A 1 M solution is one in which exactly 1 mole of solute is dissolved in a total solution volume of exactly 1 L. Using SI prefixes, the concentration may also be expressed in different fractions of the molar concentration such as mmol/L (mM), μmol/L (μM), nmol/L (nM), pmol/L (pM), etc.
  • m is the mass (i.e., weight) of solute in grams (g) that must be dissolved in volume V of solution to make the desired molar concentration (C).
  • V is volume of solution in liters (L) in which the indicated mass (m) of solute must be dissolved to make the desired molar concentration (C). Note that V is the final or total volume of solution after the solute has been added to the solvent.
  • MW is the molecular weight in g/mol. Molecular weight is also referred to as formula weight and, in fact, many scientists prefer to use the latter. The molecular weight can be obtained from the molecular formula, data tables, or the label on the bottle containing the chemical of interest.

Molar Solution Concentration Calculator

Each calculator cell shown below corresponds to a term in the formula presented above. Enter appropriate values in all cells except the one you wish to calculate. Therefore, at least three cells must have values, and no more than one cell may be blank. The value of the blank cell will be calculated based on the other values entered. After a calculation is performed, the calculated cell will be highlighted and subsequent calculations will calculate the value of the highlighted cell (with no requirement to have a blank cell). However, a blank cell has priority over a highlighted cell.

For convenience, this worksheet allows you to select different mass, volume, and concentration units, and the necessary conversions are carried out for you to obtain the value of the blank cell in the desired unit. Note that the unit of molecular weight must be g/mol.

Molecular weight of solute  
g/mol
Mass of solute
g
Volume of solution
mL
Concentration of solution
mM
  

Comments and/or Preparation Instructions

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




Posted: Thursday, March 1, 2001
Last updated: Saturday, March 22, 2025
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