Basic thermo question: heat engine efficiency

In summary, it is true that an engine will be more efficient if operating in a hotter environment. This is because according to Newton's law of cooling and the principles of thermodynamics, there will be less heat transfer and therefore more work output/less loss associated with the cycle. However, the efficiency of fuel must also be taken into consideration. The hot reservoir in this case would be the heat added through combustion, while the cold reservoir is the surrounding air. As the temperature difference between the two reservoirs decreases, the efficiency of the engine also decreases. This is because if there is no heat added, there is no work done. Therefore, engines are actually more efficient in colder environments due to a higher rate of heat transfer. The Qout
  • #1
Samky
20
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Is it strictly true that an engine will be more efficient if operating in a hotter environment... e.g. your car is more efficient in the summer than the winter? Just going through thermo 1, not a HW question, but it just seems to be true to me because the simple Newton's law of cooling says there will be less heat transfer and thermo says therefore there is more work output / less loss associated with the cycle.

Of course this doesn't take into account efficiency of fuel (for your car). I have no idea how it would affect combustion. Maybe next semester in chem I'll get a better idea ;)

Probably a simple question, but I'm curious :) Thanks.
 
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  • #2
Interesting, so the TH or hot reservoir would be the heat we add to the engine though combustion. That means the TL or cold reservoir is the surrounding air. And we see by the equation that as TL -> TH the efficiency drops to zero.

This makes sense because if the combustion cannot add heat, then there is no work done.

Which means engines are more efficient the colder it is, due to a higher rate of heat transfer in (more heat to work with, more work produced so to speak).

So this means the Qout is unrelated to the reservoirs, it's simply what's left over that's not converted to work. While it's Qin that is directly related to the reservoirs. Seems I had it totally backwards :)

Thanks.
 
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What is a heat engine?

A heat engine is a device that converts heat energy into mechanical work. It typically operates by taking in heat from a high temperature source, such as burning fuel, and releasing some of that heat to a lower temperature sink, such as the surrounding environment.

What is the efficiency of a heat engine?

The efficiency of a heat engine is the ratio of the work output to the heat input. It is a measure of how well the engine is able to convert heat energy into useful work. The higher the efficiency, the more effective the engine is at converting heat into work.

What factors affect the efficiency of a heat engine?

The efficiency of a heat engine is affected by several factors, including the temperature difference between the hot and cold reservoirs, the type of working fluid used, and the design and construction of the engine itself. Generally, a larger temperature difference and a more efficient working fluid will lead to a higher efficiency.

What is the Carnot efficiency?

The Carnot efficiency is the theoretical maximum efficiency that a heat engine can achieve, based on the Carnot cycle. It is dependent only on the temperatures of the hot and cold reservoirs and is given by the equation: efficiency = 1 - (Tcold/Thot), where Tcold is the temperature of the cold reservoir and Thot is the temperature of the hot reservoir.

How can the efficiency of a heat engine be improved?

The efficiency of a heat engine can be improved by increasing the temperature difference between the hot and cold reservoirs, using a more efficient working fluid, and optimizing the design and construction of the engine. Additionally, using waste heat recovery systems and implementing advanced thermodynamic cycles can also improve the efficiency of a heat engine.

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