For each of the following reactions, write the chemical formulas of the reactants and product and balance the equations:
(a) sodium + sulfur $\rightarrow$ sodium sulfide
(b) calcium + bromine $\rightarrow$ calcium bromide
(c) barium + oxygen $\rightarrow$ barium oxide
(d) sulfur dioxide $+$ oxygen $\rightarrow$ sulfur trioxide
(e) magnesium + nitrogen $\rightarrow$ magnesium nitride