Concept:
According to the
law of conservation of mass, the number of atoms of each element must be the same on both sides of a chemical equation. Therefore, chemical equations must be
balanced.
Step 1:Balancing the equation \(H_2 + O_2 \rightarrow H_2O\)
Unbalanced equation:
\[
H_2 + O_2 \rightarrow H_2O
\]
Number of oxygen atoms on the left side is 2, while on the right side it is 1.
To balance oxygen atoms, multiply \(H_2O\) by 2.
\[
H_2 + O_2 \rightarrow 2H_2O
\]
Now hydrogen atoms become 4 on the right side, so multiply \(H_2\) by 2.
\[
2H_2 + O_2 \rightarrow 2H_2O
\]
This is the
balanced equation.
Step 2:Balancing the equation \(NaOH + HCl \rightarrow NaCl + H_2O\)
Unbalanced equation:
\[
NaOH + HCl \rightarrow NaCl + H_2O
\]
Counting atoms on both sides:
- Na: 1 on both sides
- Cl: 1 on both sides
- H: 2 on both sides
- O: 1 on both sides
Since all atoms are already equal, the equation is
already balanced.
\[
NaOH + HCl \rightarrow NaCl + H_2O
\]