1. Balanced Chemical Equation:
The balanced chemical equation for the combustion of glucose (C6H12O6) is:
C6H12O6 + 6O2 → 6CO2 + 6H2O
2. Mole Ratios:
The equation shows that 1 mole of glucose (C6H12O6) reacts to produce 6 moles of carbon dioxide (CO2).
3. Convert Grams to Moles:
* Glucose:
* Molar mass of C6H12O6 = (6 * 12.01 g/mol) + (12 * 1.01 g/mol) + (6 * 16.00 g/mol) = 180.18 g/mol
* Moles of glucose = (45 g) / (180.18 g/mol) = 0.25 mol
4. Calculate Moles of Carbon Dioxide:
* Using the mole ratio from the balanced equation:
* Moles of CO2 = 0.25 mol glucose * (6 mol CO2 / 1 mol glucose) = 1.5 mol CO2
5. Convert Moles of Carbon Dioxide to Grams:
* Molar mass of CO2 = (12.01 g/mol) + (2 * 16.00 g/mol) = 44.01 g/mol
* Grams of CO2 = (1.5 mol) * (44.01 g/mol) = 66.02 g
Therefore, 66.02 grams of carbon dioxide would be produced if 45 grams of glucose completely reacted with oxygen.