5.1 | MSE104 - Thermodynamics of Solutions

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Part 1 of lecture 5. Thermodynamics of solutions.
Enthalpy of mixing 4:56
Entropy of Mixing 24:14
Gibb's Energy of Mixing (The Regular Solution Model) 39:56

Lecturer: Dr David Dye.
Licence: Creative Commons
Department of Materials, Imperial College, London, UK

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Hello,
Thank you for posting this video! My thermodynamics textbook is written by Gaskell and often times the book completely looses me and I end up finding it very difficult to understand as I read ahead cluelessly. Your video is VERY clear and helps a student like me finally understand the material. A big THANK YOU!

jtdrexel

Excellent explanation. Thank you so much!!!

richmond__

Great Presentation! Minute 8-9 you are showing that the probability of the three types of bonds equals to one by substitution of X(b) with 1-X(a). You can just easily say that

Thanks again!

NNenov

Good comment!

But, this is intended for people in their 4th week at university! I'm trying not to make it any more complex than I absolutely have to to make the point that Gibbs Energy curves can be constructed mathematically and then related to phase diagrams.

Colleagues then repeat this in our second year class, more slowly and carefully, to elaborate the Bragg-Williams model properly. i.e. this is 'spiral 1' in a programme - 'spirals 2 and 3' expand and deepen the ideas.

But, thanks!

DavidDyeIC

Interesting lecture professor.
@Javed: I think the professor mentions at Wh<0, ur sure of getting intermetallics. but, he insists that are Wh>0, formation of "partial " solution of both is possible as the graph suggests at around 44 min.

I hope this helps you.

mohammedshahid

Gaskell's a classic, one of the old school. The regular solution model is mathematically quite arduous - not hard per se, just a long derivation. But its very rewarding in unlocking phase diagrams, computational thermodynamics and ultimately, alloy design by computational materials engineering. So the $100m US NSF Materials Genome Initiative, for example, largely springs from this. So: let me encourage you to keep going! The end is worth it! [And, thank you for the comment: it encourages me]

DavidDyeIC

Excellent and very accessible derivation and explanation of the regular solution model . THANK YOU.

bksaif

I have a suggestion concerning enthalpy of mixing: it is quite interesting to underline the 2 main hypotheses of the Bragg-Williams model:
1- after the first draw of an A atom, the probability to draw a second A atom is xA only if interactions between A and B are sufficiently weak, otherwise there is a bias.
2- secondly, in your derivation, you consider that pure A and B have the same coordinence number z as in the A-B solution, it is a way to introduce the concept of state of reference.

olivierdezellus

hello from Turkey.you are a really good teacher, thank you very much:))

emrebaysal

Great lecture but a little correction: Entropy was introduced by Boltzmann, and k is Boltzmann's constant, probably a slip of the tongue. Thanks for such an effort online...

burcmm

Its not the planks constant its the boltzsman constant

BenBush

In your last part around 44min you state that when Wh>0 we get an intermetallic system, shouldnt it be when Wh is <0 we get an intermetallic system?

jaidevdhavle