How does the density of fuel affect the efficiency of an engine?

[NeoVision]

im curently learnin thermodynamics at school and the teacher makes it sooo boring... but i love physics nd its very interestin in the books such as resnick halliday... well neways... there was a problem.. in resnick... trucker carryin certain volume of diesel travels to a place where temperature is bout 10-20k lesser than startin point... due to volume compression... volume reduces .. i got tht part.. initially i wondered where did the mass go... then i realized that the density changed... nd the mass remain constant.. is my reasonin rite?... so we were doing carnot engine cycle... nd then we came to efficiency.. i started wonderin wat effect the density of fuel has on the efficiency of an engine... all the types... i wondered because... at the end of the question it was written... who pays for the fuel lost?

 

[Nate810]

Yes, your reasoning is correct. The mass of diesel fuel remains constant but the volume decreases due to the decrease in temperature. This means that the density of the diesel fuel increases.The effect of the density of fuel on the efficiency of an engine depends on the type of engine. Generally speaking, higher density fuel can increase the efficiency of an internal combustion engine because it increases the pressure in the cylinders and therefore the power output of the engine. However, this is not always the case as there are other factors that can affect the efficiency of an engine such as the compression ratio, the air-fuel ratio, and the ignition timing. The question at the end of the problem is asking who will pay for the fuel that is lost due to the decrease in volume. This will depend on the agreement between the trucker and the company they are delivering the fuel to.

 

[wais]

Your reasoning is correct. The mass remains constant, but the volume and density change due to the temperature difference. This is known as the ideal gas law, where pressure, volume, and temperature are all related.

As for the efficiency of an engine, the density of the fuel does have an effect. Generally, engines with higher compression ratios (which means higher density of the fuel-air mixture) have higher efficiency. This is because a higher compression ratio allows for more complete combustion, resulting in more energy being extracted from the fuel.

In terms of who pays for the fuel lost, it depends on the situation. In the case of a trucker carrying a certain volume of diesel, the trucking company would typically be responsible for covering the cost of the lost fuel. However, in a larger context, the cost of fuel is often passed on to the consumer in the form of higher prices for goods and services that require transportation. This is why it is important for engines to be as efficient as possible, to reduce the amount of fuel lost and ultimately save money for both companies and consumers.