Write balanced formula unit equations for the reactions described by words.
(a) Carbon reacts with hot concentrated nitric acid to form carbon dioxide, nitrogen dioxide, and water. (b) Sodium reacts with water to form aqueous sodium hydroxide and gaseous hydrogen. (c) Zinc reacts with sodium hydroxide solution to form aqueous sodium tetrahydroxozincate and gaseous hydrogen. (The tetrahydroxozincate ion is $\left.\left[\mathrm{Zn}(\mathrm{OH})_{4}\right]^{2-} .\right)$