Partial Molar Quantities (2) S.J.T.U. Phase Transformation and Applications av dnB onA)T.P.nB Slope =VB OnB )T,P.nA T.P.nA Definition of partial molar volume ov Va= OnA)T.P.nE nB→ dy =V adn,+V Bdnp Figure 7.2 Volume of solution A-B as a func- tion of moles of B added to the solution. Ethanol-water solution:70 mol%/30 mol% One mole of water:approximately 16 cm3 Not 18 cm3(for pure water) SJTU Thermodynamics of Materials Spring 2007 ©X.J.Jin Lecture 11 Solution IPhase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2007 © X. J. Jin Lecture 11 Solution I Partial Molar Quantities (2) B B A A += dnVdnVdV B A nPT A n V V ,, ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ = Definition of partial molar volume Ethanol-water solution: 70 mol% / 30 mol% One mole of water: approximately 16 cm3 Not 18 cm3 (for pure water) B B nPT A A nPT dn n V dn n V dV B A ,, ,, ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ + ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ =