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------------------------------------------------ An automobile gasoline tank holds 26.0 kg of gasoline. When all of the gasoline burns, 163.0 kg of oxygen is consumed, and carbon dioxide and water are produced. What is the mass of carbon dioxide produced?

A) 137 kg
B) 137.5 kg
C) 138 kg
D) 138.5 kg

Answer :

Final answer:

The mass of carbon dioxide produced is 137.5 kg.

Explanation:

The mass of carbon dioxide produced can be determined using the balanced chemical equation for the combustion of gasoline. The equation for the reaction is:

2 C₈H₁₈ + 25 O₂ → 16 CO₂ + 18 H₂O

From the equation, we can see that for every 2 moles of octane (C₈H₁₈), 16 moles of carbon dioxide (CO₂) are produced. The molar mass of octane is 114.22 g/mol and the molar mass of carbon dioxide is 44.01 g/mol. Using these molar masses, we can calculate the mass of carbon dioxide produced:

(26.0 kg octane) x (16 mol CO₂ / 2 mol octane) x (44.01 g/mol) = 137.5 kg CO₂

Therefore, the mass of carbon dioxide produced is 137.5 kg.

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