Enter the mole percent, molar volume of the component, and the sum of (mole percent * molar volume of all components) into the calculator to determine the volume percent.
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Mole Percent to Volume Percent Formula
The following formula is used to calculate the volume percent from the mole percent.
V = (Mp * V_m) / Σ(M * V_m) * 100
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 |
| Assumes a binary ideal mixture converting ethanol mole% to ethanol volume% with pure-component molar volumes: V_EtOH ≈ 58.4 mL/mol, V_H2O ≈ 18.07 mL/mol (25°C). 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. Volume percent, on the other hand, is the ratio of the volume of a component to the total volume of the mixture, also expressed as a percentage. 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
Sum of (Mole Percent * Molar Volume of All Components) (Σ(M% * V_m)) = 1000