Write the balanced chemical equations for the following reactions and identify the type of reaction in each case.
$(a)$ Nitrogen gas is treated with hydrogen gas in the presence of a catalyst at $773 \ K$ to form ammonia gas.
$(b)$ Sodium hydroxide solution is treated with acetic acid to form sodium acetate and water.

(N/A) The balanced chemical equation is: ${N_2}(g) + 3{H_2}(g) \xrightarrow[{773 \ K}]{{\text{Catalyst}}} 2NH_3(g)$.
This is a combination reaction because two reactants combine to form a single product.
$(b)$ The balanced chemical equation is: $NaOH(aq) + CH_3COOH(aq) \longrightarrow CH_3COONa(aq) + H_2O(l)$.
This is a double displacement reaction,specifically a neutralisation reaction,as an acid reacts with a base to form salt and water.