Write balanced chemical equations corresponding to each of the following descriptions:

(a) Solid calcium carbide, CaC₂, reacts with water to form an aqueous solution of calcium hydroxide and acetylene gas, C₂H₂.

(b) When solid potassium chlorate is heated, it decomposes to form solid potassium chloride and oxygen gas.

(c) Solid zinc metal reacts with sulfuric acid to form hydrogen gas and an aqueous solution of zinc sulfate.

(d) When liquid phosphorus trichloride is added to water, it reacts to form aqueous phosphorous acid, H₃PO₃(aq), and aqueous hydrochloric acid.

(e) When hydrogen sulfide gas is passed over solid hot iron(III) hydroxide, the resultant reaction produces solid iron(III) sulfide and gaseous water.