Mass Balancing (Three-Product Formula)

Description

This article describes the three-product mass balance used to estimate the mass yields and component recoveries of two products and a tailings stream from feed and product assays of two components.

Model theory

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Excel

The three-product formula may be invoked from the Excel formula bar with the following function call:

=mdMassBal_ThreeProductFormula(Assay as Range)

Invoking the function with no arguments will print Help text associated with the model, including a link to this page.

The input parameters and calculation results are defined below in matrix notation, along with an example image showing the selection of the same cells and arrays in the Excel interface:

[math]\displaystyle{ \begin{align} \mathit{Assays} & = \begin{bmatrix} f_A & f_B\\ c_A & c_B\\ m_A & m_B\\ t_A & t_B\\ \end{bmatrix}\\ \\ \end{align} }[/math] [math]\displaystyle{ \begin{align} \mathit{mdMassBal\_ThreeProductFormula} & = \begin{bmatrix} S_C\text{ (frac)} & (R_A)_C\text{ (frac)} & (R_B)_C\text{ (frac)}\\ S_M\text{ (frac)} & (R_A)_M\text{ (frac)} & (R_B)_M\text{ (frac)}\\ \end{bmatrix} \end{align} }[/math]

Figure 1. Example showing the selection of the Assay (blue frame) and Results (light blue frame) arrays in Excel.

See also

• Mass Balancing (Two-Product Formula)
• Mass Balancing (n-Product Formula)