Give a balanced chemical equation for the following conversions with conditions:

(a) Ethene from ethanol

$\underset{\text{ ethyl alcohol}}{\text{C}_2\text{H}_5\text{OH}} \xrightarrow[170^{\circ}\text{C}]{\text{Conc. H}_2\text{SO}_4\text{[excess]}} \underset{ \text{ethene}}{\text{C}_2\text{H}_4} + \text{H}_2\text{O}\$

(b) Ethyne from calcium carbide

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

(c) Monochloromethane from methane

$\underset{\text{ methane} }{\text{CH}_4} + \text{Cl}_2 \xrightarrow[\Delta]{\text{diffused sunlight}} \underset{\text{monochloromethane}}{\text{CH}_3\text{Cl}} + \text{HCl}$