Difference between revisions of "MSE Density Parameter Update"
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At infinite dilution, | At infinite dilution, | ||
[[File:T19.jpg]] (2b) | [[File:T19.jpg]] (2b) | ||
+ | |||
+ | Now,[[File:T20.jpg]] can be calculated from Eq. (3) by combining Eq (1) and (2b): | ||
+ | |||
+ | [[File:T21.jpg]] (3) |
Revision as of 07:18, 11 July 2016
In UNIQUAC term, the excess molar volume, , is assumed to be analogous to that of the excess Gibbs energy, i.e.
where is a different interaction parameter from that of
in the
model.
The symmetrically normalized
(subscript UNIQ is omitted in the following text) needs to be converted to the unsymmetrically normalized value (
) for density calculations in MSE.
Conversion from
to
:
Standard state chemical potentials in the two normalizations are related by
(or
)
which is derived from equality of chemical potentials in two normalizations, and using
1 in the infinite dilution limit. Derivatives of ’s with respect to pressure give volumes, i.e.
->
Here is how to calculate
Analogous to
,
can be defined as
and derived from Eq. (1) as:
(2a)
Now, can be calculated from Eq. (3) by combining Eq (1) and (2b):