We consider a one-phase system (so that the assumptions of invertibility discussed in the preceding chapter are justified) in which a single chemical reaction is taking place, say, e.g.,
(3.1.1)
Equation (3.1.1) does not, of course, imply addition in the ordinary algebraic sense of the quantities CO and O2. The meaning of equation (3.1.1) is to
... [Show full abstract] recall the experimentally observed fact that, when a given number of moles of CO is consumed by the reaction, the same number of moles of CO2 is produced, and half as many moles of O2 are consumed. Let the components appearing in the reaction be numbered consecutively, say CO is B
1, O2 is B
2, and CO2 is B
3, and let σj
be the corresponding stoichiometric coefficients, say σ1 = −1, σ2 = −1/2, and σ3 = 1. We note that the stoichiometric coefficients of the species appearing on the left-hand side (the “reactants”) are assigned negative stoichiometric coefficients. Equation (3.1.1) can now be written as follows:
(3.1.2)