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                                       ║    ChemBalance    ║
                                       ║  for TI-83/84(+)  ║
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                                       ║   by Ira Hanson   ║
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ChemBalance is a program to automatically balance any chemical equation.
Instead of the trial-and-error method that is sometimes taught, it uses an algebraic method.
(Information on this method at http://en.wikipedia.org/wiki/Chemical_equation#Linear_system_balancing)

INSTRUCTIONS

As an example of how to use the program, I'll use the equation
Mg₃N₂ + H₂SO₄ → MgSO₄ + (NH₄)₂SO₄

1. Start the program by pressing PRGM and selecting BALANCE, or through a shell like 
   MirageOS.
2. The calculator will ask you how many molecules are on the left and right sides of the equation,
   and how many different elements there are in the equation. In my example, there are two molecules
   on the left (Mg₃N₂ and H₂SO₄), two molecules on the right (MgSO₄ and (NH₄)₂SO₄), and five 
   different elements (Mg, N, H, and S, and O).
3. The calculator will tell you to number each molecule and element. The numbers do not refer to the 
   atomic number of each element, but the order in which they appear in the equation. In the example,
   Mg₃N₂ is Molecule 1,  H₂SO₄ is Molecule 2, and so on. Similarly, Mg is Element 1, N  is Element 2,
   and so on. You will not need to memorize or write these numbers down — if you 
   forget which is which, you can find it again by counting.
4. Enter the number of atoms of each element are in each molecule. In the example, there are three
   atoms of Element 1 (Mg) in Molecule 1 (Mg₃N₂). If you make a mistake, type a negative number or a
   non­integer to get a menu of options.
5. After you've finished, the calculator will show a list of coefficients. (Use the arrow keys to
   scroll left and right, if necessary.) They are in order of the molecules in the equation. In my 
   example, the calculator gives {1 4 3 1}, meaning that the balanced equation is
                                 Mg₃N₂ + 4H₂SO₄ → 3MgSO₄ + (NH₄)₂SO₄

This program has been tested on a TI­84 Plus, but it should work on any calculator in the 83/84 series.

This program is locked by default, but you can read or edit my code using MirageOS or a 
locking/unlocking utility.

As far as I know, this program has no errors. However, it hasn't been extensively tested. If you find
errors please e­mail me at <ira.hanson@charter.net>. (It helps if you tell me what you did before
finding this error.) You can also send any comments or suggestions to the same address.