Calculate molarity from mole fraction, solution density, and solute and solvent molar masses, or explicitly select a value to solve in this binary-mixture relationship.
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Mole Fraction To Molarity Formula
For a binary mixture, the following formula calculates molarity from solute mole fraction, measured solution density, and both molar masses at the same temperature.
Variables:
- M is the molarity (mol/L)
- X is the mole fraction
- ρ is the measured binary-solution density (g/L)
- M_s is the molar mass of the solvent (g/mol)
- M_t is the molar mass of the solute (g/mol)
To calculate the molarity, multiply the mole fraction by the density. Then, divide the result by the sum of the product of the mole fraction and molar mass of the solute and the product of (1 – mole fraction) and molar mass of the solvent.
| mol/L | mmol/L | μmol/L |
|---|---|---|
| 0.000001 | 0.001 | 1 |
| 0.000005 | 0.005 | 5 |
| 0.000010 | 0.010 | 10 |
| 0.000050 | 0.050 | 50 |
| 0.000100 | 0.100 | 100 |
| 0.000500 | 0.500 | 500 |
| 0.001 | 1 | 1000 |
| 0.005 | 5 | 5000 |
| 0.010 | 10 | 10000 |
| 0.020 | 20 | 20000 |
| 0.050 | 50 | 50000 |
| 0.100 | 100 | 100000 |
| 0.200 | 200 | 200000 |
| 0.250 | 250 | 250000 |
| 0.500 | 500 | 500000 |
| 0.750 | 750 | 750000 |
| 1 | 1000 | 1000000 |
| 2 | 2000 | 2000000 |
| 3 | 3000 | 3000000 |
| 5 | 5000 | 5000000 |
| 1 mol/L = 1000 mmol/L = 1,000,000 μmol/L. | ||
What is Mole Fraction?
Mole fraction is a way of expressing the concentration of a component in a mixture. It is the ratio of the number of moles of a particular component to the total number of moles of all components in the mixture. Mole fraction is a dimensionless quantity and is often used in chemistry to describe the composition of mixtures, especially in solutions and gas mixtures. It is particularly useful because it does not depend on temperature or pressure, unlike other concentration measures such as molarity or molality.
How to Calculate Mole Fraction To Molarity?
The following steps outline how to calculate the molarity from the mole fraction.
- First, determine the mole fraction (X).
- Next, determine the density of the solution (ρ).
- Next, determine the molar mass of the solvent (M_s).
- Next, determine the molar mass of the solute (M_t).
- Finally, calculate the molarity using the formula M = (X * ρ) / (X * M_t + (1 – X) * M_s).
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Mole Fraction (X) = 0.2
Density (ρ) = 1200 g/L
Molar Mass of Solvent (M_s) = 18 g/mol
Molar Mass of Solute (M_t) = 58.44 g/mol
