write the balanced net ionic equation that shows the formation of Fe(OH)3 in the reaction of iron (III) nitrate with sodium hydroxide.

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The molecular equation is

Fe(NO3)3 + 3NaOH ==> Fe(OH)3 + 3HNO3
You can add the phases if you wish.
net ionic equation is
Fe^3+(aq) + 3OH^-(aq) ==> Fe(OH)3(s)

To write the balanced net ionic equation for the formation of Fe(OH)3 in the reaction of iron (III) nitrate with sodium hydroxide, you need to follow a few steps:

Step 1: Write the balanced molecular equation.
Start by writing the molecular equation that represents the reaction. The balanced molecular equation for the reaction between iron (III) nitrate (Fe(NO3)3) and sodium hydroxide (NaOH) is:

Fe(NO3)3 + 3NaOH → Fe(OH)3 + 3NaNO3

Step 2: Write the complete ionic equation.
Next, break down the reactants and products into their constituent ions. The complete ionic equation for the reaction is:

Fe³⁺ + 3NO₃⁻ + 3Na⁺ + 3OH⁻ → Fe(OH)3 + 3Na⁺ + 3NO₃⁻

Step 3: Cancel out the spectator ions.
The spectator ions are the ions that appear on both sides of the equation and do not participate in the chemical reaction. In this case, the spectator ions are Na⁺ and NO₃⁻. Cross them out in the equation since they do not undergo a change. The resulting net ionic equation is:

Fe³⁺ + 3OH⁻ → Fe(OH)3

So, the balanced net ionic equation, which represents the formation of Fe(OH)3 in the reaction of iron (III) nitrate with sodium hydroxide, is:

Fe³⁺ + 3OH⁻ → Fe(OH)3