Does Na2CO3 have a methatesis reaction with NaCl, NaIO3, or Al2(SO4)3. If it does which one and why.

Answer 1

http://en.wikipedia.org/wiki/Metathesis_%28linguistics%29 is an interesting article on what metathesis means in linguistics. It meaning in chemistry is very similar.

I have a problem with the question, I will explain later.

Na2CO3 cannot have a methatical reaction with the first two, because there is no way for Na to swap with Na
AB+CD>>AD+CB

Now for the aluminum sulfate, one does not have that problem, however a serious problem does occur: Aluminum carbonate does not exist as a stable compound. http://en.wikipedia.org/wiki/Aluminium_carbonate