In the stoichiometry laboratory experiment you reacted sodium bicarbonate with acetic acid to form sodium acetate, water and carbon dioxide according to the following equation. NaHCO3 + CH3COOH → H2O + CO2 + NaCH3CO2 Calculate the theoretical yield of the reaction if you reacted 2.87 grams of sodium bicarbonate with sufficient acetic acid to produce sodium acetate. Group of answer choices

Respuesta :

Answer:

The theoretical yield of the reaction = 2.803 g        

Explanation:

Given reaction: NaHCO₃ + CH₃COOH → H₂O + CO₂ + NaCH₃CO₂

Number of moles of NaHCO₃: n₁ = 1, Number of moles of NaCH₃CO₂: n₂ = 1

Given mass of sodium bicarbonate (NaHCO₃) = 2.87 g

Molar mass of NaHCO₃: M₁ = 84 g/mol, Molar mass of NaCH₃CO₂: M₂ = 82.03 g/mol

[tex]\because Number\,of\,moles (n) = \frac{mass (m)}{molar\,mass (M)}[/tex]

[tex]\Rightarrow Mass (m) = Number\,of\,moles (n)\times molar\,mass (M)[/tex]

∴ Mass of NaHCO₃ = n₁ × M₁ = 1 mole × 84 g/mol = 84 g

Mass of NaCH₃CO₂ = n₂ × M₂ = 1 mole × 82.03 g/mol  = 82.03 g

As in the given reaction, 1 mole NaHCO₃ reacts to give 1 mole NaCH₃CO₂

∴ 84 g NaHCO₃ reacts to give 82.03 g NaCH₃CO₂

Amount of NaCH₃CO₂ produced when 2.87 g of NaHCO₃ reacts =

[tex]\frac{2.87 g \times 82.03 g}{84 g}= 2.803 g[/tex]

Therefore, the theoretical yield of the reaction = 2.803 g