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Isooctane (C8H18; d= 0.692 g/mL) is used as the fuel during a test of a new automobile engine.How much energy (in kJ) is released by complete combustion of 11.9 gal of isooctane to gases(AH 5.44 x10° kJ/mol)? Enter your answer in scientific notation.rxnх 10kJ

Question
Isooctane (C8H18; d= 0.692 g/mL) is used as the fuel during a test of a new automobile engine.
How much energy (in kJ) is released by complete combustion of 11.9 gal of isooctane to gases
(AH 5.44 x
10° kJ/mol)? Enter your answer in scientific notation.
rxn
х 10
kJ
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Isooctane (C8H18; d= 0.692 g/mL) is used as the fuel during a test of a new automobile engine. How much energy (in kJ) is released by complete combustion of 11.9 gal of isooctane to gases (AH 5.44 x 10° kJ/mol)? Enter your answer in scientific notation. rxn х 10 kJ

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Step 1

The energy released in the combustion of a hydrocarbon in a particular reaction is calculated by multiplying the number of moles of the hydrocarbon with the enthalpy change of the combustion reaction of the hydrocarbon.

The density of a substance is the ratio of its mass and volume. It is a measure of mass per unit volume. It is given by expression (1), in which, d is the density, m is the mass, and V is the volume of the substance.

The number of moles of a species is calculated by expression (4), in which, n is the number of moles, m is the mass, and M is the molar mass of the species.

(1)
V
(2)
M
|
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(1) V (2) M |

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Step 2

The conversion factor for gal and mL units is,

1 gal = 3785.4 mL

The volume of isooctane can be converted into mL units as,

11.9 gal 11.9 galx3785.4 mL
1.0 gal
= 4.5x104 mL
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11.9 gal 11.9 galx3785.4 mL 1.0 gal = 4.5x104 mL

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Step 3

The mass of isooctane in the given reactio...

0.692 g/mL 4.5x104 mL
m 3.11x104
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0.692 g/mL 4.5x104 mL m 3.11x104

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