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?
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 + 216 = 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.