Write a balanced net ionic equation (include physical states) for the following reaction:

Fe(NO3)3(aq) + LiOH(aq) → LiNO3(aq) + Fe(OH)3(s)

The net ionic equation isn't balanced above :}

Fe^3+(aq) + 3OH^-(aq) ==> Fe(OH)3(s)

To write a balanced net ionic equation, we first need to write the complete ionic equation, which shows all of the ions in their ionic form.

The given reaction is:

Fe(NO3)3(aq) + LiOH(aq) → LiNO3(aq) + Fe(OH)3(s)

First, let's write the complete ionic equation:

Fe3+(aq) + 3NO3^-(aq) + Li+(aq) + OH^-(aq) → Li+(aq) + NO3^-(aq) + Fe(OH)3(s)

Next, we can cancel out any spectator ions that appear on both sides of the equation. In this case, Li+ and NO3^- are spectator ions because they appear on both sides:

Fe3+(aq) + 3NO3^-(aq) + Li+(aq) + OH^-(aq) → 3H2O(l) + Fe(OH)3(s)

Now, we can write the net ionic equation, which only includes the ions that participate in the reaction:

Fe3+(aq) + 3OH^-(aq) → 3H2O(l) + Fe(OH)3(s)

So, the balanced net ionic equation for the given reaction is:

Fe3+(aq) + 3OH^-(aq) → 3H2O(l) + Fe(OH)3(s)

To write a balanced net ionic equation, you need to first write the skeleton equation and then balance it. Here are the steps to follow:

Step 1: Write the skeleton equation
Fe(NO3)3(aq) + 3LiOH(aq) → 3LiNO3(aq) + Fe(OH)3(s)

Step 2: Determine the complete ionic equation
To determine the complete ionic equation, you need to separate the reactants and products into their respective ions:

Fe(NO3)3(aq) → Fe3+(aq) + 3NO3-(aq)
3LiOH(aq) → 3Li+(aq) + 3OH-(aq)
3LiNO3(aq) → 3Li+(aq) + 3NO3-(aq)
Fe(OH)3(s) → Fe3+(aq) + 3OH-(aq)

Step 3: Identify the spectator ions
In a net ionic equation, we focus only on the significant species involved in the reaction. The spectator ions are the ones that appear on both sides of the equation without undergoing any change. In this case, the spectator ions are Li+ and NO3-.

Step 4: Write the net ionic equation
To write the net ionic equation, we remove the spectator ions from the complete ionic equation. The remaining species represent the net ionic equation:

Fe3+(aq) + 3OH-(aq) → Fe(OH)3(s)

Therefore, the balanced net ionic equation for the reaction is:
Fe3+(aq) + 3OH-(aq) → Fe(OH)3(s)

Note: Don't forget to include the physical states when writing the equation. In this case, (aq) represents aqueous (dissolved in water), and (s) represents a solid precipitate.