The figure shows chemogenic mineral projections for Facies P and Facies Q. Which one of the following reactions best represents change from Facies P to Facies Q?

Crn: Corundum; Grs: Grossular; Wo: Wollastonite; An: Anorthite; Sil: Sillimanite; Qtz: Quartz
IIT JAM - 2026,
Answer: D
The change from Facies P to Facies Q is best represented by Grs + Qtz = Wo + An.
In a chemographic diagram, a reaction shows up as a tie-line switch. Facies P has a grossular-quartz tie-line; in Facies Q it has gone and a wollastonite-anorthite tie-line crosses its place. The four minerals at the ends of the two crossing tie-lines are the reactants and products. The reaction balances:
\[ \begin{aligned} &\text{Ca}_3\text{Al}_2\text{Si}_3\text{O}_{12} + \text{SiO}_2 \\ &= 2\,\text{CaSiO}_3 + \text{CaAl}_2\text{Si}_2\text{O}_8 \end{aligned} \]
This is the reaction by which grossular and quartz give way to wollastonite and anorthite at higher temperature.
Wo + An = Sil + Qtz involves tie-lines that do not change. An + Sil = Wo cannot balance, since wollastonite contains no aluminium. Wo + Crn = Grs is chemically possible because grossular lies on the Crn-Wo line, but that line is present in both facies, so it is not the change shown.
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