Chemical Thermodynamics Chemical Potential: gas Need chemical - - PowerPoint PPT Presentation

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Chemical Thermodynamics Chemical Potential: gas Need chemical - - PowerPoint PPT Presentation

Chemical Thermodynamics Chemical Potential: gas Need chemical potential at arbitrary temperature and pressure. For an ideal gas: Chemical Thermodynamics CEM 484 2 Chemical Potential: liquid Liquids are a little more complicated.


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SLIDE 1

Chemical Thermodynamics

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SLIDE 2

Chemical Potential: gas

Need chemical potential at arbitrary temperature and pressure.

For an ideal gas:

CEM 484 Chemical Thermodynamics 2

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SLIDE 3

Chemical Potential: liquid

Liquids are a little more complicated.

Start by looking at a mixture of two different liquids.

Molar volumes:

CEM 484 Chemical Thermodynamics 3

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SLIDE 4

Gibbs-Duhem equation

Total Gibbs energy

Two different expressions for dG.

Results in Gibbs-Duhem equation

CEM 484 Chemical Thermodynamics 4

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SLIDE 5

Partial molar quantities

We will consider many different partial molar quantities.

Total quantity

Partial molar quantity

Sums of partial molar quantities

CEM 484 Chemical Thermodynamics 5

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SLIDE 6

Partial molar volume

Partial molar volume can be determined experimentally.

Fitting a polynomial to a curve of total volume versus molality.

CEM 484 Chemical Thermodynamics 6

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SLIDE 7

Partial molar volume

Given a binary liquid mixture knowing the partial molar volume of one component gives the other.

CEM 484 Chemical Thermodynamics 7

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SLIDE 8

Chemical potential

For a pure substance in equilibrium liquid and gas chemical potentials are equivalent.

CEM 484 Chemical Thermodynamics 8

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SLIDE 9

Chemical potential

Back to a liquid mixture.

The chemical potentials for a given component in solution and gas phase are equal.

CEM 484 Chemical Thermodynamics 9

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SLIDE 10

Chemical potential

Chemical potentials of the two components are related.

CEM 484 Chemical Thermodynamics 10

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SLIDE 11

Vapor pressure diagram

For an ideal solution of two volatile liquids

P-X diagram of an ideal binary solution.

CEM 484 Chemical Thermodynamics 11