Complete the following chemical reactions:
$(i) \ PbS_{(s)} + H_2O_{2_{(aq)}} \to $
$(ii) \ MnO_{4_{(aq)}}^{-} + H_2O_{2_{(aq)}} \to $
$(iii) \ CaO_{(s)} + H_2O_{(g)} \to $
$(iv) \ AlCl_{3_{(g)}} + H_2O_{(l)} \to $
$(v) \ Ca_3N_{2_{(s)}} + H_2O_{(l)} \to $
Classify the above into $(a)$ hydrolysis,$(b)$ redox and $(c)$ hydration reactions.

$(i) \ PbS_{(s)} + 4 H_2O_{2_{(aq)}} \longrightarrow PbSO_{4_{(s)}} + 4 H_2O_{(l)}$ (Redox reaction)
$(ii) \ 2 MnO_{4_{(aq)}}^{-} + 5 H_2O_{2_{(aq)}} + 6 H_{(aq)}^{+}$ $\longrightarrow 2 Mn_{(aq)}^{2+} + 8 H_2O_{(l)} + 5 O_{2_{(g)}}$ (Redox reaction)
$(iii) \ CaO_{(s)} + H_2O_{(g)} \longrightarrow Ca(OH)_{2_{(s)}}$ (Hydration reaction)
$(iv) \ AlCl_{3_{(g)}} + 6 H_2O_{(l)} \longrightarrow [Al(H_2O)_6]_{(aq)}^{3+} + 3 Cl_{(aq)}^{-}$ (Hydration reaction)
$(v) \ Ca_3N_{2_{(s)}} + 6 H_2O_{(l)} \longrightarrow 3 Ca(OH)_{2_{(aq)}} + 2 NH_{3_{(aq)}}$ (Hydrolysis reaction)