Translate the following statements into chemical equations and then balance them.

$(a)$ Hydrogen gas combines with nitrogen to form ammonia.

$(b)$ Hydrogen sulphide gas burns in air to give water and sulpur dioxide.

$(c)$ Barium chloride reacts with aluminium sulphate to give aluminium chloride and a precipitate of barium sulphate.

$(d)$ Potassium metal reacts with water to give potassium hydroxide and hydrogen gas.

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$(a)$ $3 H _{2(g)}+ N _{2(g)} \longrightarrow 2 NH _{3(g)}$

$(b)$ $2 H _{2} S _{( g )}+3 O _{2( g )} \longrightarrow 2 H _{2} O _{(l)}+2 SO _{2( g )}$

$(c)$ $3BaC{{l}_{2(aq)}}+A{{l}_{2}}{{\left( S{{O}_{4}} \right)}_{3(aq)}}$ $\to 2AlC{{l}_{3\left( aq \right)}}+3BaS{{O}_{4(s)}}$

$(d)$ $2 K _{(s)}+2 H _{2} O _{(l)} \longrightarrow 2 KOH _{(aq)}+ H _{2(g)}$

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