3.42 Suppose that an internal combustion engine runs on octane, for which the enthalpy of
−1
combustion is −5512 kJ mol
and take the mass of 1 gallon of fuel as 3 kg. What is the maximum
height, neglecting all forms of friction, to which a car of mass 1000 kg can be driven on 1.00
gallon of fuel given that the engine cylinder temperature is 2000°C and the exit temperature is
800°C?
3.45 The expressions that apply to the treatment of refrigerators also describe the behavior of heat
pumps, where warmth is obtained from the back of a refrigerator while its front is being used to
cool the outside world. Heat pumps are popular home heating devices because they are very
efficient. Compare heating of a room at 295 K by each of two methods: (a) direct conversion of
1.00 kJ of electrical energy in an electrical heater, and (b) use of 1.00 kJ of electrical energy to run
a reversible heat pump with the outside at 260 K. Discuss the origin of the difference in the energy
delivered to the interior of the house by the two methods.