Let's balance each of the given chemical equations step by step.
1. [tex]\( N _2 + \ldots H _2 \rightarrow \longrightarrow NH _3 \)[/tex]
- To balance this equation, you need:
[tex]\[
N_2 + 3H_2 \rightarrow 2NH_3
\][/tex]
- This ensures an equal number of nitrogen and hydrogen atoms on both sides.
2. [tex]\( N _2 + O _2 \rightarrow \text { NO } \)[/tex]
- To balance this equation, you need:
[tex]\[
N_2 + O_2 \rightarrow 2NO
\][/tex]
- This balances nitrogen and oxygen atoms.
3. [tex]\( NO + \ldots O_2 \rightarrow \text{ NO}_2 \)[/tex]
- To balance this equation, you need:
[tex]\[
2NO + O_2 \rightarrow 2NO_2
\][/tex]
- This keeps the number of nitrogen and oxygen atoms equal on both sides.
4. [tex]\( Na + \ldots O_2 \rightarrow \text{Nan} \)[/tex]
- To balance this equation, you need:
[tex]\[
4Na + O_2 \rightarrow 2Na_2O
\][/tex]
- This balances sodium and oxygen atoms properly.
5. [tex]\( S + \ldots O_2 \rightarrow \text{SO}_2 \)[/tex]
- This equation is already balanced as is:
[tex]\[
S + O_2 \rightarrow SO_2
\][/tex]
6. [tex]\( Cu + \ldots AgNO_3 \rightarrow \_ Cu(NO_3)_2 + \ldots Ag \)[/tex]
- To balance this equation, you need:
[tex]\[
Cu + 2AgNO_3 \rightarrow Cu(NO_3)_2 + 2Ag
\][/tex]
- This ensures the balance of copper, silver, nitrogen, and oxygen atoms.
7. [tex]\( NaNO_3 \rightarrow \longrightarrow NaNO_2 + \ldots O_2 \)[/tex]
- To balance this equation, you need:
[tex]\[
2NaNO_3 \rightarrow 2NaNO_2 + O_2
\][/tex]
- Ensuring the balance of sodium, nitrogen, and oxygen atoms.
8. [tex]\( \_ Na + \ldots H_2 O \rightarrow \text{NaOH} + \ldots H_2 \)[/tex]
- To balance this equation, you need:
[tex]\[
2Na + 2H_2O \rightarrow 2NaOH + H_2
\][/tex]
- Balancing sodium, hydrogen, and oxygen atoms.
9. [tex]\( H_2SO_4 + \ldots Ca(OH)_2 \rightarrow H_2O + \ldots CaSO_4 \)[/tex]
- To balance this equation, you need:
[tex]\[
H_2SO_4 + Ca(OH)_2 \rightarrow 2H_2O + CaSO_4
\][/tex]
- Ensuring the balance of sulfur, calcium, oxygen, and hydrogen.
10. [tex]\( H_2O + \ldots Al_2O_3 \rightarrow \_ Al(OH)_3 \)[/tex]
- To balance this equation, you need:
[tex]\[
3H_2O + Al_2O_3 \rightarrow 2Al(OH)_3
\][/tex]
- Keeping the balance of aluminum, hydrogen, and oxygen atoms.
These are the balanced chemical equations derived from the initial problem statement.
