Step 1: Acidity and ionization.
The acidity of the ions is directly related to the charge on the metal ion and its size. A higher charge and smaller size lead to greater polarization of the water molecules, making the ion more acidic.
Step 2: Understanding each ion's acidity.
- \( [Al(H_2O)_6]^{3+} \): Aluminum has a higher charge and smaller size compared to iron, making it the most acidic.
- \( [Fe(H_2O)_6]^{3+} \): Iron with a +3 charge is highly acidic, but slightly less than \( [Al(H_2O)_6]^{3+} \).
- \( [Fe(H_2O)_6]^{2+} \): Iron with a +2 charge is less acidic because the smaller charge leads to lower polarization.
Step 3: Conclusion.
The trend in acidity is \( [Al(H_2O)_6]^{3+} \)>\( [Fe(H_2O)_6]^{3+} \)>\( [Fe(H_2O)_6]^{2+} \).
Final Answer:
\[
\boxed{[Al(H_2O)_6]^{3+}>[Fe(H_2O)_6]^{3+}>[Fe(H_2O)_6]^{2+}}
\]