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According to this post https://chemistry.stackexchange.com/questions/1239/order-of-elements-in-a-formula, the Hill System is used when determining the order of chemical formulas. In short, carbon is always placed first, followed by hydrogen, and after those two the rest of the elements comprising the compound are sorted in alphabetical order.
I forgot to mention in my previous post but I just realized that other exceptions would be things like oxides and acids. Acids usually begin with H and oxides end in O. Another example would be hydroxides since they end in OH.
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