The given unbalanced equation is:
\[
\mathrm{C}_{2} \mathrm{H}_{6} + \mathrm{O}_{2} \rightarrow \mathrm{CO}_{2} + \mathrm{H}_{2} \mathrm{O}
\]
To balance it, we need to ensure the number of each type of atom is the same on both sides of the equation. The balanced equation is:
\[
2 \mathrm{C}_{2} \mathrm{H}_{6} + 7 \mathrm{O}_{2} \rightarrow 4 \mathrm{CO}_{2} + 6 \mathrm{H}_{2} \mathrm{O}
\]
This is a combustion reaction, where ethane (\(\mathrm{C}_{2} \mathrm{H}_{6}\)) reacts with oxygen (\(\mathrm{O}_{2}\)) to produce carbon dioxide (\(\mathrm{CO}_{2}\)) and water (\(\mathrm{H}_{2} \mathrm{O}\)).
The given unbalanced equation is:
\[
\mathrm{Li} + \mathrm{O}_{2} \rightarrow \mathrm{Li}_{2} \mathrm{O}
\]
To balance it, we need to ensure the number of each type of atom is the same on both sides of the equation. The balanced equation is:
\[
4 \mathrm{Li} + \mathrm{O}_{2} \rightarrow 2 \mathrm{Li}_{2} \mathrm{O}
\]
This is a synthesis reaction, where lithium (\(\mathrm{Li}\)) reacts with oxygen (\(\mathrm{O}_{2}\)) to form lithium oxide (\(\mathrm{Li}_{2} \mathrm{O}\)).
The given unbalanced equation is:
\[
\mathrm{Al}\left(\mathrm{NO}_{3}\right)_{3} + \mathrm{SrCO}_{3} \rightarrow \mathrm{Al}_{2}\left(\mathrm{CO}_{3}\right)_{3} + \mathrm{Sr}\left(\mathrm{NO}_{3}\right)_{2}
\]
To balance it, we need to ensure the number of each type of atom is the same on both sides of the equation. The balanced equation is:
\[
2 \mathrm{Al}\left(\mathrm{NO}_{3}\right)_{3} + 3 \mathrm{SrCO}_{3} \rightarrow \mathrm{Al}_{2}\left(\mathrm{CO}_{3}\right)_{3} + 3 \mathrm{Sr}\left(\mathrm{NO}_{3}\right)_{2}
\]
This is a double displacement reaction, where aluminum nitrate reacts with strontium carbonate to form aluminum carbonate and strontium nitrate.
- Combustion of Ethane: \(\boxed{2 \mathrm{C}_{2} \mathrm{H}_{6} + 7 \mathrm{O}_{2} \rightarrow 4 \mathrm{CO}_{2} + 6 \mathrm{H}_{2} \mathrm{O}}\)
- Synthesis of Lithium Oxide: \(\boxed{4 \mathrm{Li} + \mathrm{O}_{2} \rightarrow 2 \mathrm{Li}_{2} \mathrm{O}}\)
- Double Displacement Reaction: \(\boxed{2 \mathrm{Al}\left(\mathrm{NO}_{3}\right)_{3} + 3 \mathrm{SrCO}_{3} \rightarrow \mathrm{Al}_{2}\left(\mathrm{CO}_{3}\right)_{3} + 3 \mathrm{Sr}\left(\mathrm{NO}_{3}\right)_{2}}\)