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 sulphur dioxide.

(N/A) The chemical equation for the reaction between hydrogen gas and nitrogen gas to form ammonia is:
$3H_{2}(g) + N_{2}(g) \rightarrow 2NH_{3}(g)$
$(b)$ The chemical equation for the combustion of hydrogen sulphide gas in air (oxygen) to produce water and sulphur dioxide is:
$2H_{2}S(g) + 3O_{2}(g) \rightarrow 2H_{2}O(g) + 2SO_{2}(g)$