Step 1: Understanding the reaction.
When sodium carbonate (\(Na_2CO_3\)) reacts with hydrochloric acid (HCl), it can form different products depending on the conditions. The general reaction is:
\[
Na_2CO_3 + 2HCl \rightarrow 2NaCl + CO_2 + H_2O
\]
Step 2: Other possible reactions.
If the reaction occurs under certain conditions, sodium bicarbonate (\(NaHCO_3\)) can also form as an intermediate product. In that case, the products could include sodium bicarbonate, carbon dioxide, and water. Both sodium chloride and sodium bicarbonate can be formed depending on the amount of acid added.
Step 3: Conclusion.
Thus, all of the options provided (sodium chloride, carbon dioxide, water, and sodium bicarbonate) are possible products formed when sodium carbonate reacts with hydrochloric acid.