Solution Thermodynamics Partial molar properties Gibbs-Duhem equation Activity coefficients GATE problems 1 B.Srinivas ChEngg GVP CE Know these terms Terms like ideal solution, non ideal solution, pure component molllar volume, par tilllVlhtial molar volume, Volume change on mi iixing, excess functions etc 2 B.Srinivas ChEngg GVP CE 3 B.Srinivas ChEngg GVP CE 4 B.Srinivas ChEngg GVP CE VxVxVxV11 2 2 111 xVVxVV 1 2 2 1 1 2 V VV12 = slope V2 =intercept x1 5 B.Srinivas ChEngg GVP CE V 6 B.Srinivas ChEngg GVP CE Experimental data of volume change of mixing and enthalpy change of mixing If VVxVxVmix 11 2 2 were true the curves would not be curved 7 B.Srinivas ChEngg GVP CE VV, are the true molar volumes occupied by 12 component 1 and 2 in the mixture. called Partial Molar volumes 8 B.Srinivas ChEngg GVP CE 9 B.Srinivas ChEngg GVP CE 10 B.Srinivas ChEngg GVP CE Pure component properties are values possessed by the comppponent when it is pure. Partial molar property is the value possessed by the component when it is in a mixture. 11 B.Srinivas ChEngg GVP CE VVxVxV mix 11 2 2 true volume of the mixture volume occupied hdthhad the mi itxture formed an ideal solutio n Vmix 0, if the solution formed were ideal Vmix 0, if the solution formed were non-ideal Similarly for any property M we define property change of mixing M mix MxMxM11 2 2 12 B.Srinivas ChEngg GVP CE 13 B.Srinivas ChEngg GVP CE 14 B.Srinivas ChEngg GVP CE 15 B.Srinivas ChEngg GVP CE 16 B.Srinivas ChEngg GVP CE 17 B.Srinivas ChEngg GVP CE The most important partial molar property 18 B.Srinivas ChEngg GVP CE 19 B.Srinivas ChEngg GVP CE 20 B.Srinivas ChEngg GVP CE 21 B.Srinivas ChEngg GVP CE 22 B.Srinivas ChEngg GVP CE 23 B.Srinivas ChEngg GVP CE 24 B.Srinivas ChEngg GVP CE 25 B.Srinivas ChEngg GVP CE 26 B.Srinivas ChEngg GVP CE 27 B.Srinivas ChEngg GVP CE 28 B.Srinivas ChEngg GVP CE 29 B.Srinivas ChEngg GVP CE 30 B.Srinivas ChEngg GVP CE 31 B.Srinivas ChEngg GVP CE 32 B.Srinivas ChEngg GVP CE 33 B.Srinivas ChEngg GVP CE 34 B.Srinivas ChEngg GVP CE 35 B.Srinivas ChEngg GVP CE M xMii M G E 36 B.Srinivas ChEngg GVP CE xdM1212 xdM 0 37 B.Srinivas ChEngg GVP CE 38 B.Srinivas ChEngg GVP CE 39 B.Srinivas ChEngg GVP CE 40 B.Srinivas ChEngg GVP CE 41 B.Srinivas ChEngg GVP CE 42 B.Srinivas ChEngg GVP CE 43 B.Srinivas ChEngg GVP CE 44 B.Srinivas ChEngg GVP CE 45 B.Srinivas ChEngg GVP CE 46 B.Srinivas ChEngg GVP CE 47 B.Srinivas ChEngg GVP CE 48 B.Srinivas ChEngg GVP CE 49 B.Srinivas ChEngg GVP CE 50 B.Srinivas ChEngg GVP CE 51 B.Srinivas ChEngg GVP CE 52 B.Srinivas ChEngg GVP CE 53 B.Srinivas ChEngg GVP CE 54 B.Srinivas ChEngg GVP CE 55 B.Srinivas ChEngg GVP CE 56 B.Srinivas ChEngg GVP CE 57 B.Srinivas ChEngg GVP CE 58 B.Srinivas ChEngg GVP CE 59 B.Srinivas ChEngg GVP CE 60 B.Srinivas ChEngg GVP CE 61 B.Srinivas ChEngg GVP CE.