Thermodynamics Multicomponent Homogeneous System Solution ByeongJoo Lee Thermodynamics

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Thermodynamics Multi-component Homogeneous System: Solution Byeong-Joo Lee Thermodynamics POSTECH - MSE calphad@postech. ac. kr

Thermodynamics Multi-component Homogeneous System: Solution Byeong-Joo Lee Thermodynamics POSTECH - MSE [email protected] ac. kr Byeong-Joo Lee http: //cmse. postech. ac. kr

Thermodynamic Properties of Gases - mixture of ideal gases 1 mole of ideal gas

Thermodynamic Properties of Gases - mixture of ideal gases 1 mole of ideal gas @ constant T: Mixture of Ideal Gases Definition of Mole fraction: xi Definition of partial pressure: pi Partial molar quantities: Byeong-Joo Lee http: //cmse. postech. ac. kr

Thermodynamic Properties of Gases - mixture of ideal gases A 2 atm B 1

Thermodynamic Properties of Gases - mixture of ideal gases A 2 atm B 1 atm 2 A + B Let’s compute the entropy change of this process once more again. Byeong-Joo Lee http: //cmse. postech. ac. kr

Thermodynamic Properties of Gases - mixture of ideal gases Heat of Mixing of Ideal

Thermodynamic Properties of Gases - mixture of ideal gases Heat of Mixing of Ideal Gases Gibbs Free Energy of Mixing of Ideal Gases when pressure is always 1 atm Entropy of Mixing of Ideal Gases Byeong-Joo Lee http: //cmse. postech. ac. kr

Thermodynamic Properties of Gases - Treatment of nonideal gases Introduction of fugacity, f as

Thermodynamic Properties of Gases - Treatment of nonideal gases Introduction of fugacity, f as For Equation of state ※ actual pressure of the gas is the geometric mean of the fugacity and the ideal P ※ The percentage error involved in assuming the fugacity to be equal to the pressure is the same as the percentage departure from the ideal gas law Byeong-Joo Lee http: //cmse. postech. ac. kr

Thermodynamic Properties of Gases - Treatment of nonideal gases Alternatively, Example) Difference between the

Thermodynamic Properties of Gases - Treatment of nonideal gases Alternatively, Example) Difference between the Gibbs energy at P=150 atm and P=1 atm for 1 mole of nitrogen at 0 o. C Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Mixture of Condensed Phases Vaper A: o. PA Vaper B: o.

Solution Thermodynamics - Mixture of Condensed Phases Vaper A: o. PA Vaper B: o. PB + Condensed Phase A Vaper A+ B: PA + PB → Condensed Phase B Condensed Phase A + B for gas Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - ideal vs. non-ideal solution Ideal Solution Nonideal Solution Byeong-Joo Lee http:

Solution Thermodynamics - ideal vs. non-ideal solution Ideal Solution Nonideal Solution Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Thermodynamic Activity of a Component in Solution → for ideal solution

Solution Thermodynamics - Thermodynamic Activity of a Component in Solution → for ideal solution Draw a composition-activity curve for an ideal and nonideal solution Henrian vs. Raoultian Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Partial Molar Property ▷ Partial Molar Quantity ▷ Molar Properties of

Solution Thermodynamics - Partial Molar Property ▷ Partial Molar Quantity ▷ Molar Properties of Mixture Gibbs-Duhem Equation Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Partial Molar Quantity of Mixing definition of solution and mechanical mixing

Solution Thermodynamics - Partial Molar Quantity of Mixing definition of solution and mechanical mixing where is a pure state value per mole 왜 partial molar quantity를 사용해야 하는가? Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Partial Molar Quantities Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Partial Molar Quantities Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Partial Molar Quantities Evaluation of Partial Molar Properties in 1 -2

Solution Thermodynamics - Partial Molar Quantities Evaluation of Partial Molar Properties in 1 -2 Binary System • Partial Molar Properties from Total Properties example) • Partial molar & Molar Gibbs energy of mixing vs. Gibbs energy of formation • Graphical Determination of Partial Molar Properties: Tangential Intercepts • Evaluation of a PMP of one component from measured values of a PMP of the other example) Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Chemical Potential as a Partial Molar Quantity ※ Relationships among Partial

Solution Thermodynamics - Chemical Potential as a Partial Molar Quantity ※ Relationships among Partial Molar Quantities: Chapter 5에서 언급한 Thermodynamic Relationship 들이 모두 적용됨 Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Non-Ideal Solution ▷ Activity Coefficient ▷ Behavior of Dilute Solutions Byeong-Joo

Solution Thermodynamics - Non-Ideal Solution ▷ Activity Coefficient ▷ Behavior of Dilute Solutions Byeong-Joo Lee http: //cmse. postech. ac. kr

Example 1. Gibbs energy of formation과 Gibbs energy of mixing의 차이는 무엇인가? 2. Solution에서

Example 1. Gibbs energy of formation과 Gibbs energy of mixing의 차이는 무엇인가? 2. Solution에서 한 성분이 Henrian 또는 Raoultian 거동을 한다는 것을 무엇을 의미하는가? Molar Gibbs energy가 다음과 같이 표현되는 A-B 2원 Solution phase에서 각 성분은 dilute 영역에서는 Henrian 거동을, rich 영역에서는 Raoultian 거동을 보인다는 것을 증명하시오. Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Use of Gibbs-Duhem Relation - I Byeong-Joo Lee http: //cmse. postech.

Solution Thermodynamics - Use of Gibbs-Duhem Relation - I Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Use of Gibbs-Duhem Relation - II Byeong-Joo Lee http: //cmse. postech.

Solution Thermodynamics - Use of Gibbs-Duhem Relation - II Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Introduction of α-function Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Introduction of α-function Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Composition Dependence of α-function Fe-Ni Fe-Cu Byeong-Joo Lee http: //cmse. postech.

Solution Thermodynamics - Composition Dependence of α-function Fe-Ni Fe-Cu Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Regular Solution Model • Margules, 1895. • Hildebrand, 1929. (using van

Solution Thermodynamics - Regular Solution Model • Margules, 1895. • Hildebrand, 1929. (using van Laar Equation) Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Quasi-Chemical Model, Guggenheim, 1935. Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Quasi-Chemical Model, Guggenheim, 1935. Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Regular Solution Model Sn-In Sn-Bi Byeong-Joo Lee http: //cmse. postech. ac.

Solution Thermodynamics - Regular Solution Model Sn-In Sn-Bi Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Sub-Regular Solution Model Sn-Zn Fe-Ni Byeong-Joo Lee http: //cmse. postech. ac.

Solution Thermodynamics - Sub-Regular Solution Model Sn-Zn Fe-Ni Byeong-Joo Lee http: //cmse. postech. ac. kr

Solution Thermodynamics - Regular Solution Model • Composition and temperature dependence of Ω •

Solution Thermodynamics - Regular Solution Model • Composition and temperature dependence of Ω • Extension into ternary and multi-component system • Sublattice Model • Inherent Inconsistency Byeong-Joo Lee http: //cmse. postech. ac. kr

Thermodynamics The First Law ByeongJoo Lee POSTECH MSEThermodynamics The First Law ByeongJoo Lee POSTECH MSE
Thermodynamics The First Law ByeongJoo Lee POSTECH MSEThermodynamics The First Law ByeongJoo Lee POSTECH MSE
Computational Thermodynamics ByeongJoo Lee Computational Materials Science EngineeringComputational Thermodynamics ByeongJoo Lee Computational Materials Science Engineering
Thermodynamics The First Law ByeongJoo Lee POSTECH MSEThermodynamics The First Law ByeongJoo Lee POSTECH MSE
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Microstructure Evolution Growth Kinetics ByeongJoo Lee POSTECH MSEMicrostructure Evolution Growth Kinetics ByeongJoo Lee POSTECH MSE
Phase Transformations General Kinetics ByeongJoo Lee POSTECH MSEPhase Transformations General Kinetics ByeongJoo Lee POSTECH MSE
Phase Transformations Thermodynamic Basis ByeongJoo Lee POSTECH MSEPhase Transformations Thermodynamic Basis ByeongJoo Lee POSTECH MSE
Phase Transformations Nucleation Kinetics ByeongJoo Lee POSTECH MSEPhase Transformations Nucleation Kinetics ByeongJoo Lee POSTECH MSE
Phase Transformations Interface s ByeongJoo Lee POSTECH MSEPhase Transformations Interface s ByeongJoo Lee POSTECH MSE
Phase Transformations Diffusi on ByeongJoo Lee POSTECH MSEPhase Transformations Diffusi on ByeongJoo Lee POSTECH MSE
Phase Transformations General Kinetics ByeongJoo Lee POSTECH MSEPhase Transformations General Kinetics ByeongJoo Lee POSTECH MSE
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