Answer:
63 gallons.
Explanation:
Hello,
In this case, considering that gasoline and E85 provide 6.6x10^4 kJ and 4.2x10^4 kJ of energy per gallon respectively, one computes the total energy provided by the 40 gallons of gasoline as shown below:
[tex]Energy.gasoline=40gal*\frac{6.6x10^4 kJ}{1gal}=2.64x10^6kJ[/tex]
Now, considering the required energy, and the energy per gallon of E85, one computes how many gallons are needed by dividing the total energy by the energy provided by 1 gallon as follows:
[tex]Gallons=\frac{2.64x10^6kJ}{4.2x10^4 kJ/gal} \\Gallons=62.9gallons=63gallons[/tex]
Such initial result is rounded to 63 gallons in order to equal the provided energy by the gasoline.
Best regards.
