The combustion of gasoline produces carbon dioxide and water. assume gasoline to be pure octane (c8h18) and calculate the mass (in kg) of carbon dioxide that is added to the atmosphere per 1.3 kg of octane burned. (hint: begin by writing a balanced equation for the combustion reaction.)

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Answer:

The mass of carbon dioxide that is added to the atmosphere is 1.50526 kg.

Explanation:

[tex]C_3H_8 + 5O_2 \rightarrow 3CO2 + 4H_2O[/tex]

Mass of octane = 1.3 kg = 1300 g

Moles of octane = [tex]\frac{1300 g}{114 g/mol}=11.4035 mol[/tex]

According to reaction 1 mole of octane gives 3 moles of carbon dioxide.

Then 11.4035 moles of octane will producer:

[tex]\frac{3}{1}\times 11.4035 mol=34.2105 mol[/tex] of carbon dioxide

Mass of 34.2105 moles of carbon dioxide:

[tex]34.2105 mol\times 44 g/mol=1,505.26 g=1.50526 kg[/tex]

The mass of carbon dioxide that is added to the atmosphere is 1.50526 kg.