Answer: The internal engine of a 1200-kg car is designed

Chapter 17, Problem 17.73

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The internal engine of a 1200-kg car is designed to run on octane (C8H18), whose enthalpy of combustion is 5510 kJ/mol. If the car is moving up a slope, calculate the maximum height (in meters) to which the car can be driven on 1.0 gallon of the fuel. Assume that the engine cylinder temperature is 2200C and the exit temperature is 760C, and neglect all forms of friction. The mass of 1 gallon of fuel is 3.1 kg. [Hint: See the Chemistry in Action essay on p. 790. 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 m/s2 ), and h the height in meters.]

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