Write balanced equations for each of the following reactions. (a) When
mercury(II) oxide is heated, it decomposes to form \(\mathrm{O}_{2}\) and
mercury metal. (b) When copper(II) nitrate is heated strongly, it decomposes
to form copper(II) oxide, nitrogen dioxide, and oxygen. (c) Lead(II) sulfide,
\(\mathrm{PbS}(\mathrm{s})\), reacts with ozone to form
\(\mathrm{PbSO}_{4}(\mathrm{~s})\) and \(\mathrm{O}_{2}(\mathrm{~g}) .\) (d) When
heated in air, \(\mathrm{ZnS}(s)\) is converted to ZnO. (e) Potassium peroxide
reacts with \(\mathrm{CO}_{2}(g)\) to give potassium carbonate and
\(\mathrm{O}_{2}\).