Sure, let's write the decomposition reactions for the given compounds step-by-step.
(a) Calcium Bicarbonate, \(\text{Ca(HCO}_3)_2\)
When calcium bicarbonate decomposes, it breaks down into calcium carbonate (\(\text{CaCO}_3\)), carbon dioxide (\(\text{CO}_2\)), and water (\(\text{H}_2\text{O}\)). The decomposition reaction can be written as:
[tex]\[
\text{Ca(HCO}_3\text{)}_2 \rightarrow \text{CaCO}_3 + \text{CO}_2 + \text{H}_2\text{O}
\][/tex]
(b) Silver Oxide, \(\text{Ag}_2\text{O}\)
When silver oxide decomposes, it breaks down into silver (\(\text{Ag}\)) and oxygen (\(\text{O}_2\)). The balanced decomposition reaction is:
[tex]\[
\text{Ag}_2\text{O} \rightarrow 2\text{Ag} + \frac{1}{2}\text{O}_2
\][/tex]
(c) Dinitrogen Trioxide, \(\text{N}_2\text{O}_3\)
When dinitrogen trioxide decomposes, it breaks down into nitrogen (\(\text{N}_2\)) and oxygen (\(\text{O}_2\)). The balanced decomposition reaction is:
[tex]\[
\text{N}_2\text{O}_3 \rightarrow \text{N}_2 + \frac{3}{2}\text{O}_2
\][/tex]
These are the decomposition reactions for the given compounds.