Write the balanced chemical equations for the following reactions:
$(i)$ Hydrogen $+$ Chlorine $\to$ Hydrogen chloride
$(ii)$ Barium chloride $+$ Aluminium sulphate $\to$ Barium sulphate $+$ Aluminium chloride
$(iii)$ Sodium $+$ Water $\to$ Sodium hydroxide $+$ Hydrogen
$(i)$ Hydrogen $+$ Chlorine $\to$ Hydrogen chloride
$(ii)$ Barium chloride $+$ Aluminium sulphate $\to$ Barium sulphate $+$ Aluminium chloride
$(iii)$ Sodium $+$ Water $\to$ Sodium hydroxide $+$ Hydrogen
(N/A) $(i)$ $H_{2(g)} + Cl_{2(g)} \longrightarrow 2HCl_{(g)}$
$(ii)$ $3BaCl_{2(aq)} + Al_{2}(SO_{4})_{3(aq)} \longrightarrow 3BaSO_{4(s)} + 2AlCl_{3(aq)}$
$(iii)$ $2Na_{(s)} + 2H_{2}O_{(l)} \longrightarrow 2NaOH_{(aq)} + H_{2(g)}$
$(ii)$ $3BaCl_{2(aq)} + Al_{2}(SO_{4})_{3(aq)} \longrightarrow 3BaSO_{4(s)} + 2AlCl_{3(aq)}$
$(iii)$ $2Na_{(s)} + 2H_{2}O_{(l)} \longrightarrow 2NaOH_{(aq)} + H_{2(g)}$
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