Difference between revisions of "X-based and m-based activity coefficients in the solver"

From wiki.olisystems.com
Jump to: navigation, search
(Created page with "On the molality basis, the activity coefficient of water is undefined (it is defined for all components except water). Therefore, we report directly the activity of water in t...")
 
 
(7 intermediate revisions by the same user not shown)
Line 1: Line 1:
On the molality basis, the activity coefficient of water is undefined (it is defined for all components except water). Therefore, we report directly the activity of water in the γ–m-based column. Water is the only exception (because of the definition of molality, which refers everything to 1 kg of water). For all other components, we report the activity coefficients. On the mole fraction scale, there are no such exceptions because water is then treated as any other component and the γ–x-based column shows activity coefficients for all species, including water. So, xwater(x-based)γwater(x-based) = awater(x-based)=awater(m-based).
+
 
 +
There are two types to activity coefficients according to they way they are defined: The activity coefficient in molal basis (i.e. unsymetric) and the activity coefficient in the mole fraction basis (i.e. symmetric).
 +
 
 +
To convert the activity coefficient from molal basis to the the mole fraction basis you can use the following equation:
 +
 
 +
[[File:equationmolal.png|thumb|center|300 px|Equation 1]]
 +
 
 +
On the molality basis, the activity coefficient of water is not defined (it is defined for all components except water). This is because the definition of molality, which refers everything to 1 kg of water. For all other components, we report the activity coefficients. Therefore, we report directly the activity of water in the γ–m-based column.
 +
 
 +
On the mole fraction scale, there are no such exceptions because water is then treated as any other component and the γ–x-based column shows activity coefficients for all species, including water.
 +
 
 +
However, the activities in both the molal and mole fraction base should be the same:
 +
 
 +
[[File:activity.png|thumb|center|300 px|Equation 2]]

Latest revision as of 08:52, 10 October 2022

There are two types to activity coefficients according to they way they are defined: The activity coefficient in molal basis (i.e. unsymetric) and the activity coefficient in the mole fraction basis (i.e. symmetric).

To convert the activity coefficient from molal basis to the the mole fraction basis you can use the following equation:

Equation 1

On the molality basis, the activity coefficient of water is not defined (it is defined for all components except water). This is because the definition of molality, which refers everything to 1 kg of water. For all other components, we report the activity coefficients. Therefore, we report directly the activity of water in the γ–m-based column.

On the mole fraction scale, there are no such exceptions because water is then treated as any other component and the γ–x-based column shows activity coefficients for all species, including water.

However, the activities in both the molal and mole fraction base should be the same:

Equation 2