By Roger Powell
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Additional info for Equilibrium thermodynamics in petrology: an introduction
10) assuming that the reaction lines on '" 3kbar G .... I. 10 Schematic G- T diagrams at 3 kbar and 8 kbar for the AlzSiO s system involving andalusite (A), kyanite (K) and sillimanite (S), from which the aluminosilicate phase diagram can he constructed. (WE 2(d» © Roger Powell 50 Equilibrium Thermodynamics in Petrology where 'YIA -l> 1 when XIA -l> 1 and 'YIA -l> constant when XI A-l> 0, and this is most simply expressed with standard state 1, with: IL~A = G IA and alA = XI A'YIA This is the most commonly used standard state, mainly for end-members of solids, but also for certain end-members of fluids.
I-. 3 A plot of ILIA against In X 1A illustrating standard state 2. know nothing about it as X IA-l> 1 (the chain line). The extension of the Henry's law straight line segment b-e intersects the ILIA-axis at XIA = 1 (or In X 1A 0) at d. The Gibbs energy here can be referred to as GfA' Although GfA = G IA+ RT In hIA(2 ) , we do not know G IA and RT x In h1A(2 ) individually. 6) 22 © Roger Powell Equilibrium Thermodynamics in Petrology To calculate the weight proportions, we need the molecular weight of the olivine (2(40'32)+60'09 = 140,73) and the orthopyroxene (40,32+ 60·09 100,41).
There is a strong correlation between the width of the Raoult's law region and the size of h I A (2 ) ' The more similar are endmembers 1 and 2, the larger are the Raoult's law and Henry's law regions and the smaller is hI A ( 2 ) ' If the two end-members are very similar then h I A ( 2 ) ---+ 1, the intermediate region disappears, the Henry's law and Raoult's law regions coalesce, and we refer to ideal mixing of endmembers 1 and 2. e. e. 'Y2A = 1). From the point of view of performing calculations involving chemical potentials, the assumption of ideal mixing for a phase is often used.