Final answer:
The theoretical yield of carbon dioxide can be calculated using stoichiometry and the given chemical equation. The balanced equation is 6 CO₂ + 6H₂O → C6H₁2O₆ +6 O₂. From the equation, we can see that 6 moles of CO₂ react to form 1 mole of C6H₁2O₆. The molar mass of CO₂ is 44.009 g/mol and the molar mass of C6H₁2O₆ is 180.156 g/mol. Therefore, the theoretical yield of carbon dioxide is 72 g (option a).
Step-by-step explanation:
The theoretical yield of carbon dioxide can be calculated using stoichiometry and the given chemical equation. The balanced equation for the reaction is:
6 CO₂ + 6H₂O → C6H₁2O₆ +6 O₂
From the equation, we can see that 6 moles of CO₂ react to form 1 mole of C6H₁2O₆. The molar mass of CO₂ is 44.009 g/mol and the molar mass of C6H₁2O₆ is 180.156 g/mol. Therefore, the theoretical yield of carbon dioxide can be calculated as follows:
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- Convert the given mass of CO₂ to moles using the molar mass. Given: 22.0 g CO₂, molar mass = 44.009 g/mol
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- Use the mole ratio from the balanced equation to convert moles of CO₂ to moles of C6H₁2O₆. Mole ratio: 6 mol CO₂ = 1 mol C6H₁2O₆
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- Convert moles of C6H₁2O₆ to grams using the molar mass. Molar mass = 180.156 g/mol
The theoretical yield of carbon dioxide is 72 g (option a).