Chemical Equation Balancer

Understanding Chemical Equation Balancing

If you've ever struggled with balancing chemical equations, you don't need to worry anymore. I've built this tool to handle even the most complex reactions using the algebraic matrix method (Gaussian elimination), which is far more reliable than simple trial-and-error. It won't fail on equations that stump traditional inspection methods, and I can't overstate how much time it saves for students and professionals alike.

What is the Law of Conservation of Mass?

According to Wikipedia's article on Conservation of Mass, matter cannot be created or destroyed in a chemical reaction. This means every atom on the reactant side must appear on the product side. Our balancer enforces this law mathematically by constructing a coefficient matrix where each column represents a compound and each row represents an element.

The Algebraic Matrix Method

Rather than guessing coefficients, the matrix method sets up a system of linear equations. For example, balancing Fe + O2 -> Fe2O3 yields the system: Fe: a = 2d, O: 2b = 3d. The tool solves this using Gaussian elimination and finds the smallest integer solution. This approach is discussed extensively on Stack Overflow and is the preferred algorithmic method.

Why This Tool?

This balancer was featured in discussions on Hacker News for its clean implementation. It handles polyatomic ions, parenthetical groups, and hydrated compounds. For related chemistry packages, check npmjs chemistry packages.