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Conversion of units of concentration

Calculator and formulas for conversion between different units of concentration: Molarity, molality, mole fraction, weight percent of solute and grams of solute per liter of solution

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The calculator below can be used to convert between common concentration units. The mole weight of the solvent and solute and the density of the solution must be filled in:

Mole weight solvent, g/mol

Mole weight solute, g/mol

Density solution, g/ml (not needed for conversons between wt%, mole fraction and molality or between molarity and g solute/l solution)

Concentration value (choose the unit you have below)

wt% solute mol/kg solvent (molality) mol/l solution (molarity) mol solute/mol total (mole fraction) g solute/l solution


Density of water solutions of: organic acids, organic substances as sugars and alcoholsinorganic chloridesinorganic sodium saltsinorganic potassium salts and some other inorganic substances.
See also Solutions, molarity and dilution, Mixtures, Solutions and Suspensions and Solubility product constants

The fomulas used by the calculater is given in the table below:

Desired unit  - as function of Wt% Molality Molarity Mole fraction g solute/l solution
Wt% of solute      100*E*B   
1000 + E*B
  F*B  
10*C
     100*G*B       
 G*B + (1 - G)*A
    H   
 10*C
Molality, mol/kg solvent    1000*D   
B*(100 - D)
     1000*F     
1000*C - F*B  
  1000*G   
A - G*A
      1000*H       
B*(1000*C - H)
Molarity, mol/liter solution  10*C*D   
  B
  1000*C*E  
1000 + B*E
    1000*C*G      
 G*B + (1 - G)*A
 H 
B
Mole fraction, molsolute/moltotal            D/B           
D/B + (100 - D)/A
        A*E      
A*E + 1000
            A*F            
F*(A - B) + 1000*C
              A*H             
H*(A - B) + 1000*C*B
Gram of solute/liter solution 10*D*C  1000*C*E*B 
1000 + E*B
F*B   1000*C*G*B    
G*B + (1-G)*A

where
A = mole weight of solvent, g/mol
B = mole weight of solute, g/mol
C = density of solution*, g/ml
D = wt% of solute
E = molality, mol/kg solvent
F = molarity, mol/liter solution
G = mole fraction, molsolute/moltotal
H = gram of solute/liter solution

* Density is not needed for conversons between wt%, mole fraction and molality or between molarity and grams of solute per liter solution.

Density of low viscous liquids can be measured by exact weighing of a well-defined volume of the liquid. Then, the density is calculated by using the formula

density = mass [g]/volume [ml]

Density of water solutions of: organic acids, sugar and alchohols, inorganic chlorides, inorganic potassium salts, inorganic sodium salts, other common inorganic substanses
Shrinkage and estimation of density of a liquid-liquid solution

How to measure density of petroleum products



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