The balanced chemical equation is:
\[ 2\text{Li} + 2\text{H}_2\text{O} \rightarrow 2\text{LiOH} + 2\text{N}_2\text{O}_5 \rightarrow 2\text{N}_2\text{O}_4 + \text{O}_2 \]
This equation represents the reaction of lithium with water, forming lithium hydroxide, which then reacts with dinitrogen pentoxide to produce dinitrogen tetroxide and oxygen.
To balance the chemical equation:
\[ \text{Li} + \text{H}_2\text{O} \rightarrow \text{LiOH} + \text{N}_2\text{O}_5 \rightarrow \text{N}_2\text{O}_4 + \text{O}_2 \]
we can follow these steps:
1. Balance lithium (Li) on both sides:
\[ \text{Li} + \text{H}_2\text{O} \rightarrow \text{LiOH} + \text{N}_2\text{O}_5 \rightarrow \text{N}_2\text{O}_4 + \text{O}_2 \]
2. Balance oxygen (O) on both sides:
\[ \text{Li} + \text{H}_2\text{O} \rightarrow \text{LiOH} + \text{N}_2\text{O}_5 \rightarrow \text{N}_2\text{O}_4 + \text{O}_2 \]
3. Balance nitrogen (N) on both sides:
\[ \text{Li} + \text{H}_2\text{O} \rightarrow \text{LiOH} + 2\text{N}_2\text{O}_5 \rightarrow 2\text{N}_2\text{O}_4 + \text{O}_2 \]
4. Balance hydrogen (H) on both sides:
\[ 2\text{Li} + 2\text{H}_2\text{O} \rightarrow 2\text{LiOH} + 2\text{N}_2\text{O}_5 \rightarrow 2\text{N}_2\text{O}_4 + \text{O}_2 \]
Now, the equation is balanced.