Answer : The net ionic equation will be,
![2Fe^(3+)(aq)+3Mg(s)\rightarrow 3Mg^(2+)(aq)+2Fe(s)](https://img.qammunity.org/2022/formulas/chemistry/college/16dbd0kiz61qine1lx2xgt23ob283q2mfp.png)
Explanation :
In the net ionic equations, we are not include the spectator ions in the equations.
Spectator ions : The ions present on reactant and product side which do not participate in a reactions. The same ions present on both the sides.
The given balanced ionic equation will be,
![2FeCl_3(aq)+3Mg(s)\rightarrow 3MgCl_2(aq)+2Fe(s)](https://img.qammunity.org/2022/formulas/chemistry/college/r33a8qzrmujkconeqhq78fh0rlnzcar6zt.png)
The ionic equation in separated aqueous solution will be,
![2Fe^(3+)(aq)+6Cl^(-)(aq)+3Mg(s)\rightarrow 3Mg^(2+)(aq)+6Cl^(-)(aq)+2Fe(s)](https://img.qammunity.org/2022/formulas/chemistry/college/28b5m78q6sijoy2nm2jvq6u9on6tmg0tyy.png)
In this equation,
is the spectator ion.
By removing the spectator ions from the balanced ionic equation, we get the net ionic equation.
The net ionic equation will be,
![2Fe^(3+)(aq)+3Mg(s)\rightarrow 3Mg^(2+)(aq)+2Fe(s)](https://img.qammunity.org/2022/formulas/chemistry/college/16dbd0kiz61qine1lx2xgt23ob283q2mfp.png)