The given chemical equation is a reaction between carbonic acid (\(\mathrm{H}_2\mathrm{CO}_3\)) and barium hydroxide (\(\mathrm{Ba}(\mathrm{OH})_2\)) to form barium carbonate (\(\mathrm{BaCO}_3\)) and water (\(\mathrm{H}_2\mathrm{O}\)).
Balance Barium (Ba):
There is 1 barium atom on both sides of the equation, so barium is already balanced.
Balance Carbon (C):
There is 1 carbon atom on both sides of the equation, so carbon is already balanced.
Balance Oxygen (O):
On the left side, there are 3 oxygen atoms from \(\mathrm{H}_2\mathrm{CO}_3\) and 2 oxygen atoms from \(\mathrm{Ba}(\mathrm{OH})_2\), totaling 5 oxygen atoms.
On the right side, there are 3 oxygen atoms in \(\mathrm{BaCO}_3\) and 1 oxygen atom in each \(\mathrm{H}_2\mathrm{O}\). To balance, we need 2 \(\mathrm{H}_2\mathrm{O}\) molecules, giving a total of 5 oxygen atoms.
Balance Hydrogen (H):
On the left side, there are 2 hydrogen atoms from \(\mathrm{H}_2\mathrm{CO}_3\) and 2 hydrogen atoms from \(\mathrm{Ba}(\mathrm{OH})_2\), totaling 4 hydrogen atoms.
On the right side, with 2 \(\mathrm{H}_2\mathrm{O}\) molecules, there are 4 hydrogen atoms.