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What are the products of a single-displacement reaction when magnesium metal $ \left( {Mg} \right) $ reacts with copper sulphate $ \left( {CuS{O_4}} \right) $ ?

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Hint: When a metal which is more reactive replaces the position of another metal which is combined with another atom or molecule is known as single-displacement reaction alternatively known as single-replacement reaction.

Complete answer:
As we know that in the reactivity series of metals, metals are arranged in the decreasing order of reactivity which means metals which are more reactive are placed below the series whereas metals which are less reactive are placed above the series. This series comes forward after performing displacement reactions between metals and their salt solution.
The reactivity series is:
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As we can see from the table, the magnesium element is placed higher in the series than copper. So by this we can conclude that magnesium is more reactive than copper. Thus when magnesium reacts with copper sulphate, it replaces copper and forms magnesium sulphate. Copper is reduced into copper atoms which precipitate down whereas magnesium is oxidised and goes into the aqueous phase, displacing copper effectively. Magnesium sulphate is mostly a white crystalline solid which is soluble in water but not in ethanol.
The chemical equation of this will be:
 $ Mg + CuS{O_4} \to Cu + MgS{O_4} $
Thus the product of single displacement reaction between magnesium and copper sulphate are copper metal as precipitate and magnesium sulphate.

Note:
The single-displacement reaction is a chemical reaction in which one atom replaces another atom. It can be representing as:
 $ A + BC \to AC + B $
Where $ A $ and $ B $ both are different metals, $ C $ is the anion.
This reaction occurs more frequently if $ A $ is more reactive than $ B $ , so give a more stable product.