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Answer :
The total combined mass of carbon dioxide and water produced when the gasoline burns is approximately 151 kg + 70 kg = 221 kg.
To determine the total combined mass of carbon dioxide and water produced when the gasoline burns, we need to consider the balanced chemical equation for the combustion of gasoline:
C8H18 + 12.5O2 → 8CO2 + 9H2O
From the equation, we can see that for every 1 mole of gasoline (C8H18), 8 moles of carbon dioxide (CO2) and 9 moles of water (H2O) are produced.
First, we need to convert the mass of gasoline to moles using the molar mass of gasoline, which is approximately 114.22 g/mol.
49 kg of gasoline = 49,000 g
Moles of gasoline = 49,000 g / 114.22 g/mol ≈ 429.02 mol
From the balanced equation, we know that the ratio of moles of gasoline to moles of carbon dioxide is 1:8, and the ratio of moles of gasoline to moles of water is 1:9.
Moles of carbon dioxide = 429.02 mol × 8 = 3432.16 mol
Moles of water = 429.02 mol × 9 = 3861.18 mol
To convert the moles of carbon dioxide and water to mass, we need to use their respective molar masses.
Molar mass of carbon dioxide (CO2) = 44.01 g/mol
Molar mass of water (H2O) = 18.02 g/mol
Mass of carbon dioxide = 3432.16 mol × 44.01 g/mol ≈ 150,979.96 g ≈ 151 kg
Mass of water = 3861.18 mol × 18.02 g/mol ≈ 69,592.64 g ≈ 70 kg
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