The equilibrium between molten slag and oxygen atmosphere was studied by a statisticothermodynamical method. The number of mols of T. FeO, FeO, Fe
2O
3, CaO, SiO
2 of slag was
C1,
C++,
C+++,
C2,
C3, respectively. From the structures of silicate, ferrite and hematite, the author has established the model of molten slag as follows:—(1) The present molten system has two lattices I and II having
N(
C1+
C2+
C3) each. (2) The positive ions are situated at lattice I and lattice II, and the ions at I and II have 4 and 6 neighboring O
−−, respectively. (3)
NC+++ Fe
+++ and
NC3 Si
4+ are situated at lattice I, and
NC+++ Fe
+++,
NC++ Fe
++ and
NC2 Ca
2+ at II at random, respectively. (4) The potential energy between neighboring ions varies with the composition of slag, for instance the potential energy \varphi
++−0 of Fe-O varies with concentrations of ε
2 and ε
3 of CaO and SiO
2 as follows: \varphi
++−0=\varphi
++−00+ε
2\varphi++,2+ε
3\varphi++,3+ε
2ε
3\varphi++,2,3. From this model, the Gibbs’ free energy of molten slag was obtained and the equilibrium between molten slagslag and O
2 atmosphere can be expressed by the following equation.
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From this equation the equilibrium between molten slag and O
2 atmosphere has been explained quantitatively in the extensive range of oxygen pressure from 10
−8 to 1 atm, of temperature from 1383 to 1648° and of the compositions of the Fe oxide -CaO-SiO
2 system.
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