Answer :
The total combined mass of carbon dioxide (CO₂) and water (H₂O) produced when the gasoline burns, we need to consider the balanced chemical equation for the combustion of gasoline. Since the equation is not provided, we will use the general equation for hydrocarbon combustion:
CₓHₐ + (x + (y/4))O₂ → xCO₂ + (y/2)H₂O
From the equation, we can see that for every mole of hydrocarbon burned, x moles of CO₂ and (y/2) moles of H₂O are produced. However, to calculate the mass, we need to know the molar mass of gasoline, which can vary depending on the specific composition of the hydrocarbon mixture.
Assuming an average molar mass of gasoline (C₈H₁₈) of approximately 114 g/mol, we can calculate the number of moles of gasoline:
Number of moles of gasoline = 43 kg / (114 g/mol)
Next, we can determine the molar ratios between gasoline, CO₂, and H₂O based on the balanced equation. For every mole of gasoline, 8 moles of CO₂ and 9 moles of H₂O are produced.
Finally, we can calculate the total combined mass of CO₂ and H₂O produced:
Mass of CO₂ = (Number of moles of gasoline) * (8 moles of CO₂) * (44 g/mol)
Mass of H₂O = (Number of moles of gasoline) * (9 moles of H₂O) * (18 g/mol)
Total combined mass of CO₂ and H₂O = Mass of CO₂ + Mass of H₂O
Note that the exact values will depend on the specific molar mass of the gasoline used, so the values provided above are approximate.
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