The internal combustion engine of a 1610-kg car is designed to run on octane (C8H18), whose enthalpy of combustion is 5510 kJmol1. If the car is moving up a slope, calculate the maximum height (in meters) to which the car can be driven on 1.5 gallons of the fuel. Assume that the engine cylinder temperature is 2100C and the exit temperature is 770C, and neglect all forms of friction. The mass of 1.5 gallons of fuel is 4.0 kg. [Hint: The work done in moving the car over a vertical distance is mgh, where m is the mass of the car in kg, g the acceleration due to gravity (9.81 ms2), and h the height in meters.]