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There are two reaction pathways that get you that gas. First of all, baking soda, which is sodium bicarbonate (NaHCO3) reacts in a double replacement reaction with vinegar, which is acetic acid (HC2H3O2). Here's the equation for that: NaHCO3 + HC2H3O2 --> NaC2H3O2 + H2CO3. Your products are sodium acetate (a water-soluble salt) and carbonic acid. Then, the carbonic acid immediately decomposes into water and carbon dioxide. Here's the equation for that: H2CO3 --> H2O + CO2. The bubbles you see are the CO2 from the second reaction pathway.

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