Baking soda is sodium bicarbonate (NaHCO3) and vinegar is dilute acetic acid (CH3COOH).
The equation of the reaction is as follows:
CH3COOH + NaHCO3 ===> NaCH3COO + H2CO3
NaCH3COO is a salt known as sodium acetate. H2CO3 is carbonic acid which quickly breaks down into carbon dioxide (CO2) and water (H2O). So the reaction would look like this:
CH3COOH + NaHCO3 ===> NaCH3COO + CO2 + H2O
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