Molar to Volume Basis Conversion for Liquids and Solids
Molar to volume basis conversions are not commonly used. They are included for any special Cases that might need them. The conversion is calculated in two steps since there is not a simple formula that relates both bases. The following equations are used.
| Molar to mass basis:Mass to volume basis: | Molar to mass basis: | Mass to volume basis: |
|---|---|---|
| Molar to mass basis: | Mass to volume basis: | |
Where:
xi = the mass fraction of component i
vi = the volume fraction of component i
yi = the molar fraction of component i
MWi = the molecular weight of component i
SGi = the specific gravity of component i
EXAMPLE: Molar to Volume Basis Conversion for Liquids and Solids
A liquid stream consists of a mixture of three components: A, B, and C. The volume fraction is calculated using the equations shown above.
Molar to Volume Basis Conversion for Liquids and Solids Example
| Component | Molar Fraction | Apparent Density (SG) | Molecular Weight (lb/lbmol) | Volume Fraction |
|---|---|---|---|---|
| A | 0.2 | 0.9 | 20 | 0.194 |
| B | 0.75 | 0.8 | 18 | 0.737 |
| C | 0.05 | 1.1 | 35 | 0.069 |
| Total | 1 | 1 |