Convert mole and volume percentages for ideal gases, or pure-component volume fractions before mixing liquids. Optional outputs include mass fractions, gas partial pressures and separate liquid component amounts.
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Mole Percent to Volume Percent Formula
The following formula calculates pure-component volume percent before mixing. For ideal gases at one common temperature and pressure, volume percent equals mole percent. For liquids, the final mixed volume may differ from the sum of separate component volumes.
Variables:
- V% is the volume percent
- M% is the mole percent
- V_m is the molar volume of the component
- Σ(M% * V_m) is the sum of (mole percent * molar volume of all components)
To calculate the volume percent, multiply the mole percent by the molar volume of the component, then divide by the sum of (mole percent * molar volume of all components), and multiply by 100 to convert to a percentage.
| Mole Percent (%) | Volume Percent (%) |
|---|---|
| 1 | 3.161 |
| 2 | 6.188 |
| 5 | 14.537 |
| 10 | 26.422 |
| 15 | 36.319 |
| 20 | 44.689 |
| 25 | 51.860 |
| 30 | 58.073 |
| 33 | 61.416 |
| 40 | 68.300 |
| 50 | 76.370 |
| 60 | 82.900 |
| 67 | 86.776 |
| 70 | 88.292 |
| 75 | 90.651 |
| 80 | 92.820 |
| 85 | 94.823 |
| 90 | 96.677 |
| 95 | 98.398 |
| 99 | 99.688 |
| Illustrative conversion of ethanol mole% to pre-mixing volume% using the stated pure-component molar volumes: V_EtOH ≈ 58.4 mL/mol, V_H2O ≈ 18.07 mL/mol (example inputs, not a verified common-temperature dataset). Formula: vol% = 100 · [x·V_EtOH] / [x·V_EtOH + (1−x)·V_H2O], where x = mole%/100. | |
What is Mole Percent to Volume Percent?
Mole percent to volume percent is a conversion used in chemistry to express the concentration of a component in a mixture. Mole percent is the ratio of the number of moles of a component to the total number of moles of all components in the mixture, expressed as a percentage. Here, volume percent is the separate pure-component volume divided by the sum of all separate component volumes before mixing, multiplied by 100. It is not a measured final-solution volume percentage such as alcohol by volume. This conversion is particularly useful in gas mixtures, where the volume percent can be directly related to the mole percent through the ideal gas law.
How to Calculate Mole Percent to Volume Percent?
The following steps outline how to calculate the Mole Percent to Volume Percent.
- First, determine the mole percent (M%) of the component.
- Next, determine the molar volume (V_m) of the component.
- Next, determine the sum of (mole percent * molar volume of all components) (Σ(M% * V_m)).
- Finally, calculate the volume percent (V%) using the formula V% = (M% * V_m) / Σ(M% * V_m) * 100.
- 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 Percent (M%) = 25%
Molar Volume of Component (V_m) = 22.4 L/mol
For an ideal gas with each component at the same temperature and pressure, Σ(M% × V_m) = 100 × 22.4 = 2240 using this illustrative molar volume. Volume percent = 25×22.4/2240× 100 = 25%.
