Answer:
The theoretical mass of CO2 = 2.09 grams
The theoretical mass of H2O = 0.429 grams
The theoretical mass of CO2+ H2O = 2.519 grams
Explanation:
Step 1: Data given
Mass of NaHCO3 = 1 gram
Molar mass NaHCO3 = 84.00 g/mol
Molar mass of CO2 = 44.01 g/mol
Molar mass of H2O = 18.02 g/mol
Step 2: The balanced equation
4NaHCO3 + O2 → 4CO2 + 2H2O + 2Na2O2
Step 3: Calculate moles of NaHCO3
Moles NaHCO3 = mass NaHCO3 / molar mass NaHCO3
Moles NaHCO3 = 1.0 gram / 84.00 g/mol
Moles NaHCO3 = 0.0119 moles
Step 4: Calculate moles CO2 and H2O
For 4 moles NaHCO3 we need 1 mol O2 to produce 4 moles CO2 and 2 moles H2O and 2 moles Na2O2
For 0.0119 moles NaHCO3 we'll have 4*0.0119= 0.0476 moles CO2
and 2* 0.0119 = 0.0238 moles H2O
Step 5: Calculate mass CO2 and H2O
Mass = moles * molar mass
Mass CO2 = 0.0476 moles * 44.01 g/mol
Mass CO2 = 2.09 grams
Mass H2O = 0.0238 moles ¨18.02 g/mol
Mass H2O = 0.429 grams
The theoretical mass of CO2 = 2.09 grams
The theoretical mass of H2O = 0.429 grams
The theoretical mass of CO2+ H2O = 2.519 grams
