Write one equation each for decomposition reactions where energy is supplied in the form of heat,light,or electricity.

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(N/A) Thermal decomposition:
$2FeSO_{4(s)} \xrightarrow{\Delta} Fe_2O_{3(s)} + SO_{2(g)} + SO_{3(g)}$
(Ferrous sulphate $\rightarrow$ Ferric oxide + Sulphur dioxide + Sulphur trioxide)
$(b)$ Photolytic decomposition (by light):
$2AgCl_{(s)} \xrightarrow{\text{Light}} 2Ag_{(s)} + Cl_{2(g)}$
(Silver chloride $\rightarrow$ Silver + Chlorine)
$(c)$ Electrolytic decomposition (by electricity):
$2H_2O_{(l)} \xrightarrow{\text{Electricity}} 2H_{2(g)} + O_{2(g)}$
(Water $\rightarrow$ Hydrogen + Oxygen)

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Balance the following chemical equations:
$(a)$ $HNO_{3} + Ca(OH)_{2} \longrightarrow Ca(NO_{3})_{2} + H_{2}O$
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