All of these follow the same rule.
A metal will displace the ion of any other metal BELOW it in the activity series.
For example:
Ni + Cu(NO3)2 ==> Cu + Ni(NO3)2
Au + HCl ==> NR (because Au is not below H).
The second one (Zn(NO3)2 + MgSO4) doesn't belong in this question since it isn't a single replacement. As it stands; however, there is no reaction.
Using the activity series (Table 4.5), write balanced chemical equations for the following reactions. If no reaction occurs, simply write NR. (a) Nickel metal is added to a solution of copper (II) nitrate; (b) a solution of zinc nitrate is added to a solution of magnesium sulfate; (c) hydrochloric acid is added to gold metal; (d) chromium metal is immersed in an aqueous solution of cobalt (II) chloride; (e) hydrogen gas is bubbled through a solution of silver nitrate.
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