Posted by Lalo on Saturday, October 27, 2012 at 6:02pm.
Here is a simplified set of solubility rules.
http://www.files.chem.vt.edu/RVGS/ACT/notes/solubility_rules.html
Use that to know Hg2I2 is insoluble; therefore, the reaction is
2NaI(aq) + Hg2(C2H3O2)2(aq) ==> 2NaC2H3O2(aq) + Hg2I2(s)
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