Let's go through the complete ionic and net ionic equations for each of the provided reactions:
a) Reaction: Ba(OH)₂ + Fe₂(SO₄)₃ → Fe(OH)₃ + BaSO₄
Molecular Equation: \[ \text{Ba(OH)}_2 (aq) + \text{Fe}_2(\text{SO}_4)_3 (aq) \rightarrow \text{Fe(OH)}_3 (s) + \text{BaSO}_4 (s) \]
Total Ionic Equation: \[ \text{Ba}^{2+} (aq) + 2\text{OH}^{-} (aq) + 2\text{Fe}^{3+} (aq) + 3\text{SO}_4^{2-} (aq) \rightarrow 2\text{Fe(OH)}_3 (s) + \text{Ba}^{2+} (aq) + \text{SO}_4^{2-} (aq) \]
Net Ionic Equation: \[ 2\text{Fe}^{3+} (aq) + 6\text{OH}^{-} (aq) \rightarrow 2\text{Fe(OH)}_3 (s) \]
b) Reaction: NaOH + HCl → NaCl + H₂O
Molecular Equation: \[ \text{NaOH} (aq) + \text{HCl} (aq) \rightarrow \text{NaCl} (aq) + \text{H}_2\text{O} (l) \]
Total Ionic Equation: \[ \text{Na}^{+} (aq) + \text{OH}^{-} (aq) + \text{H}^{+} (aq) + \text{Cl}^{-} (aq) \rightarrow \text{Na}^{+} (aq) + \text{Cl}^{-} (aq) + \text{H}_2\text{O} (l) \]
Net Ionic Equation: \[ \text{H}^{+} (aq) + \text{OH}^{-} (aq) \rightarrow \text{H}_2\text{O} (l) \]
c) Reaction: 2K₃PO₄ + 3Ca(NO₃)₂ → Ca₃(PO₄)₂ + 6KNO₃
Molecular Equation: \[ 2\text{K}_3\text{PO}_4 (aq) + 3\text{Ca(NO}_3)_2 (aq) \rightarrow \text{Ca}_3(\text{PO}_4)_2 (s) + 6\text{KNO}_3 (aq) \]
Total Ionic Equation: \[ 6\text{K}^{+} (aq) + 2\text{PO}_4^{3-} (aq) + 3\text{Ca}^{2+} (aq) + 6\text{NO}_3^{-} (aq) \rightarrow \text{Ca}_3(\text{PO}_4)_2 (s) + 6\text{K}^{+} (aq) + 6\text{NO}_3^{-} (aq) \]
Net Ionic Equation: \[ 3\text{Ca}^{2+} (aq) + 2\text{PO}_4^{3-} (aq) \rightarrow \text{Ca}_3(\text{PO}_4)_2 (s) \]
d) Reaction: Pb(NO₃)₂ + 2KI → PbI₂ + 2KNO₃
Molecular Equation: \[ \text{Pb(NO}_3)_2 (aq) + 2\text{KI} (aq) \rightarrow \text{PbI}_2 (s) + 2\text{KNO}_3 (aq) \]
Total Ionic Equation: \[ \text{Pb}^{2+} (aq) + 2\text{NO}_3^{-} (aq) + 2\text{K}^{+} (aq) + 2\text{I}^{-} (aq) \rightarrow \text{PbI}_2 (s) + 2\text{K}^{+} (aq) + 2\text{NO}_3^{-} (aq) \]
Net Ionic Equation: \[ \text{Pb}^{2+} (aq) + 2\text{I}^{-} (aq) \rightarrow \text{PbI}_2 (s) \]
These equations present both the total ionic and net ionic reactions for the specified chemical reactions.