Partial Molar Quantities S.J.T.U. Phase Transformation and Applications The partial derivative of that quantity with respect to mass(number of moles)at constant temperature and constant pressure,and the mass of all other materials in the system The partial molar volume of material a in a solution. Vo= OnaT,P,nne… Pure a > The partial molar volume would be Slope-V =OV equal to the molar volume. Ona )T,Pno-ne" Constant T and P The chemical potential is the partial molar Gibbs free energy.(Only) a SJTU Thermodynamics of Materials Spring 2010 ©X.J.Jin Lecture 6 Property Relation llPhase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2010 © X. J. Jin Lecture 6 Property Relation II Partial Molar Quantities The partial derivative of that quantity with respect to mass (number of moles) at constant temperature and constant pressure, and the mass of all other materials in the system. a T ,P,nb ,nc , a n V V            The partial molar volume of material a in a solution. a T ,P,nb ,nc , a n V Slope V             a n V Constant T and P Pure a The partial molar volume would be equal to the molar volume. The chemical potential is the partial molar Gibbs free energy. (Only)