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When $$Cu^{2+}$$ salt reacts with potassium iodide (KI), a redox reaction takes place. $$Cu^{2+}$$ is a sufficiently strong oxidising agent to oxidise $$I^-$$ to $$I_2$$, while being itself reduced to $$Cu^+$$.
The reaction is:
$$2Cu^{2+} + 4I^- \rightarrow 2CuI + I_2$$
The $$Cu^+$$ ions combine with $$I^-$$ to form cuprous iodide ($$Cu_2I_2$$), which is a white precipitate. This can also be written as $$2CuI$$, but the formula of cuprous iodide in its crystal form is $$Cu_2I_2$$.
Therefore, the product is $$Cu_2I_2$$.
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