- #1

barryj

- 851

- 50

- TL;DR Summary
- I need an equation to balance that has more terms than elements

I am working with matrices to balance chem equations. I have googled hard equations to balance and find that most, at least what I have found, have the number of elements to be less than the terms in the equation. for example

... FeCr2O4 + ... Na2CO3 + ... O2 -->... Na2CrO4 + ...Fe2O3 + 1CO has 5 elements and 6 terms.

So, I can assign arbitrary letters, ABCDE, as coefficients such as

(A)FeCr2O4 + (B)Na2CO3 + (C)O2 --> (D)Na2CrO4 + (E)Fe2O3 + 1CO

and then write equations like

A = 2E balancing Fe

2A = D balancing Cr

4A+B + 2C = D +3E + 1 balancing O

2B = 2D balancing Na

B = 1 balancing C

I can use matrices to solve for these cooeficients

In this case, and many others I have found, the number of elements are 1 less than the number of terms.

So my question is, is there an equation that I cannot balance using matrices in this manner?

If so, I would like to see one so I can see if I can solve it.

... FeCr2O4 + ... Na2CO3 + ... O2 -->... Na2CrO4 + ...Fe2O3 + 1CO has 5 elements and 6 terms.

So, I can assign arbitrary letters, ABCDE, as coefficients such as

(A)FeCr2O4 + (B)Na2CO3 + (C)O2 --> (D)Na2CrO4 + (E)Fe2O3 + 1CO

and then write equations like

A = 2E balancing Fe

2A = D balancing Cr

4A+B + 2C = D +3E + 1 balancing O

2B = 2D balancing Na

B = 1 balancing C

I can use matrices to solve for these cooeficients

In this case, and many others I have found, the number of elements are 1 less than the number of terms.

So my question is, is there an equation that I cannot balance using matrices in this manner?

If so, I would like to see one so I can see if I can solve it.