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A 13.00 g sample of citric acid reacts with an excess of baking soda as shown in the equation. What is the theoretical yield of carbon dioxide?

Verified Answer :

Chemical equation of the reaction between citric acid and baking soda:

\(C_{6} H_{8} O_{7} +3NaHCO_{3} -\ \textgreater \ Na_{3} C_{6} H_{5} O_{7} +3 H_{2} O+3CO_{2}\)

Ratios

Citric Acid        Baking soda    ->  Sodium Citrate  Water    Carbon Dioxide
C6H8O7                                                                                CO2
1 mole                                                                                     3moles

Molecular masses
Citric acid
612 + 81 + 716 = 192 g/mole
Carbon dioxide
12 + 2
16 =   44 g/mole

Proportion carbon dioxide / citric acid

3 44 g of carbon dioxide / 192 g of citric acid

132 g of carbon dioxide / 192 g of citric acid

13.00 g of citric acid
[132 g of carbon dioxide / 192 g of citric acid] =  8.94 g of carbon dioxide.

Answer: 8.94 grams.

The answer on the quiz would be (d) 8.93 g