The change in internal energy (ΔE) of the fuel can be calculated using the first law of thermodynamics, which states that the change in internal energy (ΔE) is equal to the heat transferred (q) minus the work done (w) on the system.
ΔE = q - w
Given that q = 10.5 J (heat released) and w = 5.50 J (work done on the surroundings), we can substitute these values into the equation:
ΔE = 10.5 J - 5.50 J = 5.00 J
Therefore, the change in internal energy (ΔE) of the fuel is 5.00 J.