To find the amount of carbon dioxide produced in the chemical conversion of the 50-gram sample of baking soda, we can start by adding up the mass of the products we know:
- Sodium: 13.7 grams
- Hydrogen: 0.6 grams
- Oxygen: 9.5 grams
Now, let's combine those masses:
\[ 13.7 , \text{g (sodium)} + 0.6 , \text{g (hydrogen)} + 9.5 , \text{g (oxygen)} = 23.8 , \text{g} \]
Now we will subtract this total from the initial mass of baking soda (50 grams) to find the mass of carbon dioxide produced:
\[ \text{Mass of CO}_2 = \text{Initial mass} - \text{Mass of products known} \]
\[ \text{Mass of CO}_2 = 50 , \text{g} - 23.8 , \text{g} = 26.2 , \text{g} \]
Therefore, the amount of carbon dioxide produced in this process is 26.2 grams.
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