上海交通大学：《材料热力学 Thermodynamics of materials》课程教学资源（PPT课件讲稿）Chapter7 Solution（1/2）

上浒充通大粤 Thermodynamics of Materials SHANGHAI JIAO TONG UNIVERSITY Chapter 7.Solution Peng Zhang pengzhang2010@sjtu.edu.cn Nov 8th,2016

Chapter 7. Solution Peng Zhang pengzhang2010@sjtu.edu.cn Nov 8th , 2016 Thermodynamics of Materials

上游充通大粤 SHANGHAI JIAO TONG UNIVERSITY Nomenclature Solutions:溶液 Chemical potential:化学位（势） Thermodynamic activity:热力学活度 Ideal solution:理想溶液 Relative partial molar quantities:相对偏摩尔量 Entropy of mixing:混合嫡 Graphical representation of partial molar quantities: 偏摩尔量的图示

Nomenclature

上游充通大粤 Introduction SHANGHAI JIAO TONG UNIVERSITY Chemical changes among pure components and compounds Solutions:elements or compounds dissolved in one another Many of the interesting properties of materials and many important chemical reactions take place Thermodynamics of these solutions We are trying to understand the energy of the changes in solution chemical reaction,phase transformation

Introduction We are trying to understand the energy of the changes in solution chemical reaction, phase transformation

上游充通大率 Introduction SHANGHAI JIAO TONG UNIVERSITY 相变是物质由一个相向另一个相的传递过程 扩散是物质由高浓度区向低浓度区的传递过程 化学反应可以看作是物质由反应物向产物的传递过程 在传递过程中化学势将起决定作用。 在恒温恒压下， dG=∑4dh, 再由自由能判据dG≤0可得判据的另一形式（化学势判据）： ∑4dn,≤0 在相变过程中物质总是由化学势高的一相向转向化学势低的 一相，直到两相中的化学势相等为止。而物质在两相中存在的 化学势差△μ；是物质传递的动力

Introduction

上游充通大￥ SHANGHAI JIAO TONG UNIVERSITY 7.1 Thermodynamic activity Fugacity is defined for gases: dG;RTd(In fi) Energetic,in terms of energy or chemical potential Thermodynamie activity of a component,i,is defined as: gas equilibrium fo=f liquid 0g=a1 The fugacity of the componentiin its standard state. The fugacity of a condensed phase is equal to the fugacity of the vapor phase in equilibrium with it. The fugacity of the vapor is equal to the pressure of the vapor,if the vapor in equilibrium with the condensed phase is ideal

7.1 Thermodynamic activity Energetic, in terms of energy or chemical potential gas liquid equilibrium fg =fl αg =αl

上游充通大粤 SHANGHAI JIAO TONG UNIVERSITY 7.1 Thermodynamic activity (2) Standard state not reference state In liquid solutions and solid solutions the pure materials at one atmosphere pressure and specified crystal structure. Solid solution of iron and nickel The pure iron (bec or fec)and pure nickel are chosen as the standard state. G:-Gjpune =G1-G;=RTInar dGi=RTd(Infi) Relationship between energy and the concentration Ideal solution:(definition) The fugacity of component i is equal to the mole fraction of component i multiplied by the fugacity of i in the pure state. Temperature is not part of the definition of a standard state

7.1 Thermodynamic activity (2) Temperature is not part of the definition of a standard state Relationship between energy and the concentration (definition)

上浒充通大粤 SHANGHAI JIAO TONG UNIVERSITY 7.1 Thermodynamic activity (3) Pure state as standard state fi=fp Q; xifP a= fi=xifp f i(ideal solution) Gi-Gi.pure =G:-G=RT Ina;=RTInx

7.1 Thermodynamic activity (3) = RTlnxi

上游充通大粤 SHANGHAI JIAO TONG UNIVERSITY 7.1 Thermodynamic activity (4) The change of Gibbs free energy upon mixing: f iTh solution）) i(pure) f Grd=Gi(solmam)-G(pue)=RTInx (ideal solution) 0以；=Xi

7.1 Thermodynamic activity (4)

上游充通大粤 SHANGHAI JIAO TONG UNIVERSITY 7.1 Thermodynamic activity (5) f° 1.0 f 0 0 0 Pure x1> Figure 7.1 Fugacity of component i(f)and activity of component i(a,)as a function of mole fraction (x,)for an ideal solution

7.1 Thermodynamic activity (5)

上浒充通大粤 SHANGHAI JIAO TONG UNIVERSITY 7.2 Partial Molar Quantities (1) The properties of a material in solution are represented by the partial molar quantities.偏摩尔量 The volume of the solution consisting of materials A and B,at constant temperature and pressure,is the function of the amount of A and the amount of B V=V(nA,nB)T.P Volume is a point or state function dV ov dnB On )T.P.nB OnB )T.P.nA

7.2 Partial Molar Quantities (1) The properties of a material in solution are represented by the partial molar quantities. 偏摩尔量