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Na2S + Hg(NO3)2 -> 2Na(NO3) + HgS

^ Na is Sodium and its not even in the equation so the balanced equation is:

Hg2SO4 + NH4NO3>>>>Hg2NO3+SO4

I'm Assuming you mean Mercury(i) sulfate+ ammonium nitrate? if so:

Hg2(SO4) + 2[(NH4)(NO3)] ----> 2[Hg(NO3)] + {[(NH4)2] (SO4)}

& it's a double replacement reaction

(Since most people just come here to get quick answers for homework, I'm not going to bother explaining how to get that.)

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