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Solve a metallurgical mass balance (system of 7 equations with 7 unknowns)?

3 Replies

What I want is to obtain a solution for just 7 unknowns, all the other "variables" are fixed, either assumed or taken from the periodic table. For the purposes of calculation in Mathematica, the ~30 "variables" should be treated as input constants:

The vector A = {ACu, AFe, AS, AO, ASi } contain the fixed atomic weights from the periodic table, and all the concentrations are input data, except the following 3 ones: Oe, Sie and Fee.

What I want is a a general solution so I can copy it to an EXCEL worksheet (after symplifying the resulting expressions, of course). There I could put as input the values of the element concentrations and the other parameters.

Regards,

Alberto

If you don't fill in those other 20-something 'variables' it will need to invert a large symbolic matrix, which is very very complicated (perhaps impossible?). You need those atomic weights and so on filled in.

POSTED BY: Sander Huisman

You're looking for an analytic solution to something with ~30 variables?

POSTED BY: Sander Huisman
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