Dankook University
Dept. of Chemical Engineering Key concepts
- Theoretical foundation for thermodynamics (gas mixture, liquid solution)
- Fundamental property relation
- Chemical potential( )/Fugacity( )
- Partial property : : the meaning of partial property
- Excess property( ) Why need to obtain the excess property?
- ideal liquid solution : , no mixing property except &
Then, what phenomena does happen for & in mixing process of more than two components?
*Question : is larger than ?
Check point :What is the mixing effect for entropy and Gibbs free energy?
� for any closed system For a single phase and no chemical reaction system
Extending to a single phase, open system
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Dankook University
Dept. of Chemical Engineering
chemical potential of component i :
(one mole basis)
:
*Chemical Potential Index of chemical state as an intensive property
■ The Chemical Potential and Phase Equilibrium When two phase is in equilibrium,
To identify for each phase(α & β) ;
Since when T and P are constant for overall system
in Equilibrium.
since
Dankook University
Dept. of Chemical Engineering For π-phases
(i=1, 2, ···, N) Criteria for Chemical equilibrium of π-phases
Partial Properties
Response function- "A measure of the response of total property nM
to the addition of a differential amount of species i "
EXAMPLE 11.1
What's the physical interpretation ?
total volume change :
: effective molar volume
Dankook University
Dept. of Chemical Engineering
When T, P and are constant,
in equi-molar solution
Equation Relating Molar and Partial Molar Properties.
and
Dankook University
Dept. of Chemical Engineering
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Calculation of mixture properties from partial properties :Calculation of partial properties from Mixture properties Check point : What's the meaning of partial molar property?
Gibbs/Duhem
Dankook University
Dept. of Chemical Engineering Since ,
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Dankook University
Dept. of Chemical Engineering
* Differential of Gibbs/Duhem equation
(provided is infinite)
(provided is infinite)
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Dankook University
Dept. of Chemical Engineering