Assume that an internal combustion engine runs on octane, for which the enthalpy of combustion is -5512kJ mol^-1 and take the mass of 1 gallon of fuel as 3kg. Determine the maximum height, neglecting all forms of friction, to which a car of mass 1000kg can be driven on 1.00 gallon of fuel given that the exit temperature is 800 degreesC and the engine cylinder temperature is 2000 degrees C?