Question

Baking soda (NaHCO3, 84.0 g/mol) requires acids from other ingredients to generate the carbon dioxide needed to make bread rise. The following equation describes this reaction, where HB is some unspecified acid. If 20.4 g of baking soda are used in a recipe and enough acid is present for a complete reaction, how many moles of carbon dioxide are generated?

HB + NaHCO3 ⟶ H2O + CO2 + NaB
a. 0.243 mol
b. 0.204 mol
c. 0.334 mol
d. 0.232 mol
e. 0.464 mol

Answer 1

Using the molar mass of sodium bicarbonate and the 1:1 stoichiometry of the reaction, we find that 20.4 g of baking soda will produce 0.243 moles of carbon dioxide.

Step-by-step explanation:

To calculate the number of moles of carbon dioxide generated from 20.4 g of baking soda (NaHCO3), we need to use the molar mass of sodium bicarbonate (84.0 g/mol) and the stoichiometry of the reaction. According to the balanced chemical reaction provided, one mole of NaHCO3 produces one mole of CO2.

To find out the number of moles of NaHCO3 in 20.4 g, use the following calculation:

Moles of NaHCO3 = Mass (g) / Molar Mass (g/mol)
Moles of NaHCO3 = 20.4 g / 84.0 g/mol
Moles of NaHCO3 = 0.243 moles

Since the stoichiometry of the reaction is 1:1, this means that 0.243 moles of NaHCO3 will produce 0.243 moles of CO2.

Therefore, 0.243 moles of carbon dioxide are generated, which corresponds to answer choice (a).

Answer 2

0.122283884747646362672 mol