The Otto-cycle of a certain car has a compression ratio r=8.5. The fuel economy rating of this car is 25 miles per gallon at 105km/h. Gasoline has a heat of combustion of 4.60x10^7J/kg, and its density is 740kg/m^3.
a. At 105km/h, what is the rate of gasoline consumption in L/h?
b. What is the theoretical efficiency of the engine? Use γ=1.40
c. How much power is the engine producing at 105km/h? Assume that the engine is operating at its theoretical efficiency, and give your answer in watts and in horsepower. By comparison, the engine of the car has a maximum power of 236hp.
I think I have part b. using the termal efficiency formula for the otto cycle(e=1-1/(rγ-1)). The other two parts I'm completely stuck on.
speed = 105 km/hr
milage = 25 mile/gallon = 25*1.609/3.785 km/liter
because, 1 gallon = 3.785 litres and 1 mile= 1.609 km
=>milage = 10.627 km/l
hence consumption rate of gasoline = speed/milage = 105/10.627
= 9.88 ...
With good explanation and full calculations, the problems are solved.