Give balanced equations for the following:

(a) Laboratory preparation of ethyne from calcium carbide.

(b) Conversion of acetic acid to ethyl acetate.

(c) Laboratory preparation of nitric acid.

(a) $\underset{\text{calcium carbide}}{\text{CaC}$2} + \underset{\text{water}}{2\text{H}2\text{O}} \longrightarrow \underset{\text{ethyne}}{\text{C}2\text{H}2} + \underset{\text{calcium hydroxide}}{\text{Ca(OH)}_2}

(b) $\underset{\text{ethanol}}{\text{C}$2\text{H}5\text{OH}} + \underset{\text{acetic acid}}{\text{CH}3\text{COOH}} \xrightarrow[\Delta]{\text{Conc. H}2\text{SO}4} \underset{\text{ethyl acetate}}{\text{CH}3-\text{COO}-\text{C}2\text{H}5} + \text{H}_2\text{O}

(c) $\underset{[\text{conc.}]}{\text{KNO}$3} + \underset{[\text{conc.}]}{\text{H}2\text{SO}4} \xrightarrow{\lt 200 \degree\text{C}} \underset{[\text{acid salt}]}{\text{KHSO}4} + \text{HNO}_3