Respuesta :

Given:

[tex]Al_{(s)}+\text{ Cu}_{(aq)}^{2+}\rightarrow Al_{(aq)}^{3+}+\text{ Cu}_{(s)}[/tex]

Required: To balance the equation.

Solution

Step 1: Write the half reactions.

The aluminum is oxidized since the oxidation state increases from zero to plus three. The copper is reduced since the oxidation state decreases from 2+ to zero. The half reactions are as follows.

[tex]\begin{gathered} Cu_{(aq)}^{2+}\text{ + 2e}^-\rightarrow Cu_{(s)}\text{ \lparen reduction\rparen} \\ \\ Al_{(s)}\rightarrow Al_{(aq)}^{3+}+\text{ 3e}^-\text{ \lparen oxidation\rparen} \end{gathered}[/tex]

Step 2: Multiply by an appropriate factor to balance the equation

Multiply the reduction reaction by 3

Multiply oxidation reaction by 2

Add the half reactions to get the net ionic equation:

Answer

[tex]3Cu_{(aq)}^{2+}\text{ + 2Al}_{(s)}\rightarrow3Cu_{(s)}\text{ + 2Al}_{(aq)}^{3+}[/tex]

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