Equations (\
efe1) and (\
efe2) have been derived by applying an ideal associated solution model assuming associated compounds, M
pO(a), for the analysis of the thermodynamics of oxygen dissolution into liquid metals, 1/2O
2(g)→
O(at%).
(This article is not displayable. Please see full text pdf.)
\
oindentStandard free energies,
ΔGMpO°(a), enthalpies,
ΔHMpO°(a), and entropies,
ΔSMpO°(a), of formation of the associated compounds, M
pO(a), have been calculated from eq. (\
efe1) and (\
efe2) using the published values of
ΔHsol° and
ΔSsol° of the reaction, 1/2O
2(g)→
O(at%). Variations of the standard enthalpies and entropies of formation of M
pO with the atomic number of constituent metal, M, are analogous in the solid, liquid (associated compounds), and gaseous states. Linear relations are found in the following combinations of the quantities;
ΔHMpO°(s) vs
ΔHMpO°(a),
ΔHMpO°(a) vs
ΔHMpO°(g),
ΔHMpO°(s) vs
ΔHMpO°(g),
ΔSMpO°(s) vs
ΔSMpO°(a),
ΔSMpO°(a) vs
ΔSMpO°(g), and
ΔSMpO°(s) vs
ΔSMpO°(g). Except for the relation of
ΔSMpO°(s) and
ΔSMpO°(a), this linear relation is sub-divided into two different lines; one of which consists of transition metal oxides and the other of non-transition metal oxides. Standard enthalpies,
ΔHM° and
ΔHB°, of M
pO(a) of melting and boiling are proportional to the melting and boiling temperatures
TM and
TB, respectively, and the relation between
ΔHB° and
TB° agrees with Trouton’s rule. If the associated solution is not ideal, the following equations hold.
(This article is not displayable. Please see full text pdf.)
\
oindentIn this case the thermodynamic values,
ΔHMpO\invdiameter(a) and
ΔSMpO\invdiameter(a), of the infinite dilute associated compounds M
pO(a) in liquid metal, not pure M
pO(a), are calculated from eqs. (\
efe3) and (\
efe4). It is to be noted that all the results based on eqs. (\
efe1) and (\
efe2) are also effective when
ΔHMpO°(a) and
ΔSMpO°(a) are replaced by
ΔHMpO\invdiameter(a) and
ΔSMpO\invdiameter(a).
View full abstract