Graphical Representation S.J.T.U. Phase Transformation and Applications Line? Slope =o 个 8→ 8→ (a) (c) Slope=-∞ T T2 8→ A B→ B (d) b Figure 7.4 Molar properties for an ideal solu- tion A-B:(a)volume of mixing,(b)enthalpy of mixing,(c)entropy of mixing,and (d) Gibbs free energy of mixing. SJTU Thermodynamics of Materials Spring 2006 ©X.J.Jin Lecture 13 Solution Il
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 13 Solution II Graphical Representation Line?
Graphical Representation(2) S.J.T.U. Phase Transformation and Applications GA° GB° GArel GA=μB Ggrel A B GB=μB B→ Figure 7.5 Plot of G versus xB to show geometrical relationships between molar Gibbs free energy and mole fraction of B.(Note free choice of level for Ga and G8.) SJTU Thermodynamics of Materials Spring 2006 ©X.J.Jin Lecture 13 Solution Il
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 13 Solution II Graphical Representation (2)
Enthalpy of Mixing:Ideal Solution S.J.T.U. Phase Transformation and Applications To summarize,for an ideal solution: Gw=RT∑xhx HM=0 SM=-R∑xnx Ey =0 SJTU Thermodynamics of Materials Spring2006©X.J.Jin Lecture 13 Solution Il
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 13 Solution II Enthalpy of Mixing: Ideal Solution To summarize, for an ideal solution: = ∑ i M ii ln xxRTG −= ∑ i M ii ln xxRS H M = 0 = 0 V M
S.J.T.U. Phase Transformation and Applications V+xA -VB OxB)T.P av axB XA V-XB =7A OxB)T.P xB XA Pure Pure A B XB> Figure 7.3 Plot of V versus xB to show geometrical relationships in an A-B solution. SJTU Thermodynamics of Materials Spring2006©X.J.Jin Lecture 13 Solution Il
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 13 Solution II A B PT B V x V xV = ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ − , B B PT A V x V xV = ⎟⎟⎠⎞ ⎜⎜⎝⎛∂∂ +
Nomenclature S.J.T.U. Phase Transformation and Applications Non-ideal Solution:非理想溶液 Activity coefficient::活度系数 Gibbs-Duhem Relation:Gibbs-Duhem关系式 Dilute Solution:稀溶液 Colligative Properties:依数性 Osmotic Pressure:渗透压 SJTU Thermodynamics of Materials Spring2006©X.J.Jin Lecture 13 Solution Il
Phase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 13 Solution II Nomenclature Non-ideal Solution: 非理想溶液 Activity coefficient: 活度系数 Gibbs-Duhem Relation：Gibbs-Duhem关系式 Dilute Solution：稀溶液 Colligative Properties：依数性 Osmotic Pressure：渗透压