Balance the following equation: underline ( )H_(2)+underline ( )O_(2)arrow underline ( )H_(2)O

To balance the chemical equation, we need to ensure that the number of atoms of each element is the same on both sides of the equation.<br /><br />Given equation: $H_{2} + O_{2} \rightarrow H_{2}O$<br /><br />Step 1: Count the number of atoms of each element on both sides of the equation.<br />On the left side:<br />- Hydrogen (H): 2 atoms<br />- Oxygen (O): 2 atoms<br /><br />On the right side:<br />- Hydrogen (H): 2 atoms<br />- Oxygen (O): 1 atom<br /><br />Step 2: Balance the oxygen atoms by placing a coefficient of 2 in front of $H_{2}O$.<br />$H_{2} + O_{2} \rightarrow 2H_{2}O$<br /><br />Step 3: Count the number of atoms of each element again.<br />On the left side:<br />- Hydrogen (H): 2 atoms<br />- Oxygen (O): 2 atoms<br /><br />On the right side:<br />- Hydrogen (H): 4 atoms<br />- Oxygen (O): 2 atoms<br /><br />Step 4: Balance the hydrogen atoms by placing a coefficient of 2 in front of $H_{2}$.<br />$2H_{2} + O_{2} \rightarrow 2H_{2}O$<br /><br />Step 5: Verify that the number of atoms of each element is the same on both sides of the equation.<br />On the left side:<br />- Hydrogen (H): 4 atoms<br />- Oxygen (O): 2 atoms<br /><br />On the right side:<br />- Hydrogen (H): 4 atoms<br />- Oxygen (O): 2 atoms<br /><br />The balanced equation is:<br />$2H_{2} + O_{2} \rightarrow 2H_{2}O$