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mtod92 committed Jan 22, 2024
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Expand Up @@ -82,11 +82,11 @@ The algorithm presented here has the advantage of operating on a user-friendly s
# Mathematical Treatment
In a system with *n* different species, the mass conservation relationship for the $i^{th}$ species can be stated as the sum over the concentrations of all the species $X_{1…n}$ multiplied by their stoichiometries (*a*). We can define the conservation of mass for the $i^{th}$ species as:
\begin{equation}\label{eq:6}
[X_i]_{tot} = a_1X_1 + a_2[X_2] + ... + a_n[X_n]
[X_i]_{tot} = a_1[X_1] + a_2[X_2] + ... + a_n[X_n]
\end{equation}

Where square brackets denote concentrations of chemical species.
Or equivalently we can rewrite \autoref{eq:6} as a summation over all species taking part of the mass conservation for the $i^{th}$ species, whose indexes belong to the set N:
Or equivalently we can rewrite \autoref{eq:6} as a summation over all species taking part of the mass conservation for the $i^{th}$ species, whose indexes belong to the set N = {1, 2, 3, ..., k}:
\begin{equation}\label{eq:7}
[X_i]_{tot} = \sum_{j \in N} a_j[X_j]
\end{equation}
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