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Equilibrium Temperature of Furnace based off of Si and C

Equilibrium Temperature of Furnace based off of Si and C

Equilibrium Temperature of Furnace based off of Si and C

(OP)
I am a recent graduate of Metallurgical Engineering and am having a stupidly easy problem that I seemed to have spaced on.


I was searching through papers about using ATAS verifier curves and came across an equation that would tell me if the system was losing Si or C at a certain temperature, so that one would know to assume Si or C steady for purpose of estimating the other level.

The equation was about a system wanting to be in the lowest Gibbs Free Energy and involved Si and C as follows

(SiO2) + 2[C] = [Si] + 2{CO}

then it had equation for determining the equilibrium temperature

Log([Si]/[C]^2) = -27486/T + 15.47


my question is, what do I use for [Si] and [C]. At first I thought it was moles for system but that would be an insanely high number for a large furnace.

Any help?

RE: Equilibrium Temperature of Furnace based off of Si and C

Are you aware of Ellingham diagram? Can you get to read Metallurgical Thermodynamics by Gaskell?

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