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To determine the grams of sucrose required to produce a specific volume of carbon dioxide, we need to know the balanced chemical equation for the fermentation of sucrose, which typically produces ethanol and carbon dioxide. The equation is (C_{12}H_{22}O_{11} + \text{yeast} \rightarrow 4C_{2}H_{5}OH + 4CO_{2}). From this, we see that 1 mole of sucrose produces 4 moles of carbon dioxide. Given that 1 mole of gas at standard temperature and pressure (STP) occupies approximately 22.4 liters, you can calculate the grams of sucrose needed based on the desired volume of CO2 produced. For precise calculations, you would need to convert the volume of CO2 to moles and then back to grams of sucrose using its molar mass (342 g/mol).

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4d ago

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