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Answer :
Final answer:
To determine the energy released by burning 1 mole of gasoline, 4,408.8 kJ is calculated using a combustion value of 44,000 kJ/kg and a molecular weight of 100.2 g/mol. Similarly, for diesel, the energy released is 8,914.5 kJ using a combustion value of 45,000 kJ/kg and a molecular weight of 198.1 g/mol. Diesel has a higher energy output per mole.
Explanation:
To calculate the energy released by 1 mole of gasoline and diesel, we use the given molecular weights (MW) and the typical combustion energy values per kilogram for these fuels. Given that gasoline has a MW of 100.2 g/mol, we can say that 1 mole of gasoline weighs 100.2 grams. From the reference data, we know that the combustion of gasoline typically releases about 44,000 kJ/kg. Therefore, the energy released by 1 mole of gasoline is:
Energy released (gasoline) = 44,000 kJ/kg × (100.2 g / 1,000 g/kg) = 4,408.8 kJ/mol
Diesel has a MW of 198.1 g/mol. Since diesel releases about 45,000 kJ/kg, the energy released by 1 mole of diesel is:
Energy released (diesel) = 45,000 kJ/kg × (198.1 g / 1,000 g/kg) = 8,914.5 kJ/mol
Comparing the energy outputs, diesel has a higher output per mole compared to gasoline.
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