Question
Common salt solution is added to silver nitrate solution and $NH_3$ solution add to it.

Answer

Common salt solution is added to silver nitrate solution.
$AgNO_{3(aq)}+NaCl_{(aq)} \rightarrow AgCl_{(s)}+NaNO_{3(aq)}$
Common salt is NaCl , in aqueous medium it ionizes to form $Na ^{+}$and $Cl ^{-}$ions.
$NaCl_{(aq)} \rightarrow Na_{(aq)}^{+}+Cl_{(aq)}$
$Cl_{(aq)}^{-}+Ag_{(aq)}^{+} \rightarrow AgCl_{(s)}$
On adding ammonia solution to it, the silver chloride gets dissolved and the following reaction occurs:
$AgCl_{(s)}+2 NH_{3(aq)} \rightarrow\left[Ag\left(NH_3\right)_2\right]_{(aq)}^{+}+Cl_{(aq)}$

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