BALANCING CHEMICAL EQUATIONS
using Gauss elimination method
This calculator uses the Gaussian elimination method to determine the stoichiometric coefficients of a chemical equation. Gaussian elimination (also known as row reduction) is a numerical method for solving a system of linear equations. The method is named after the German mathematician Carl Friedrich Gauss (1777-1855).
The balanced chemical equation is
As2S5 + 40HNO3
→
5H2SO4 + 40NO2 + 2H3AsO4 + 12H2O
Let's verify if the number of atoms of each element is the same on both sides of the equation. Let's verify if the sum of charges on both sides of the equation is equal.
| ELEMENT | LEFT | RIGHT | DIFFERENCE |
|---|---|---|---|
| As | 1*2 | 2*1 | 0 |
| S | 1*5 | 5*1 | 0 |
| H | 40*1 | 5*2 + 2*3 + 12*2 | 0 |
| N | 40*1 | 40*1 | 0 |
| O | 40*3 | 5*4 + 40*2 + 2*4 + 12*1 | 0 |
| Charge | 0 | 0 | 0 |
Citing this page:
Generalic, Eni. "Balancing chemical equations." EniG. Periodic Table of the Elements. KTF-Split, 18 Jan. 2024. Web. {Date of access}. <https://www.periodni.com/balancing_chemical_equations.php>.
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