Calculating Thermal Efficiency: Is There More to Consider?

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SUMMARY

The thermal efficiency of a heat engine can be calculated using the formula n=W_out/Q_H, where W_out represents the work output and Q_H is the heat input. However, this formula may not yield accurate results due to factors such as energy losses from friction, incomplete combustion, and operational conditions. For a more precise calculation, the formula can be adjusted to n=(W_out+Q_in)/Q_in, incorporating input energy. Additionally, the type of heat engine and its operating conditions significantly influence thermal efficiency.

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A heat engine does 30.0 of work and exhausts 25.0 of waste heat during each cycle.

Part A. What is the engine's thermal efficiency?

I've used n=W_out/Q_H, but I didn't get the right answer. Is there another equation that I need to use or was that it?
 
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That equation should give you the efficiency. What values did you use?
 


There are a few other factors that could affect the thermal efficiency calculation. One important factor is the input energy or heat supplied to the engine. The thermal efficiency formula you used, n=W_out/Q_H, assumes that all of the input energy is converted into work and waste heat, which may not always be the case. In reality, some of the input energy may be lost due to friction, incomplete combustion, or other inefficiencies in the engine.

To get a more accurate calculation of thermal efficiency, you could also include the input energy in the formula. This would give you n=(W_out+Q_in)/Q_in. Another factor to consider is the type of heat engine you are dealing with. Different types of engines have different theoretical maximum efficiencies, so it's important to use the correct formula for the specific type of engine you are analyzing.

Additionally, the conditions under which the engine is operating can also impact the thermal efficiency. For example, if the engine is not operating at its optimal temperature or pressure, the efficiency may be lower than expected. Other factors such as maintenance, fuel quality, and design can also affect the efficiency of an engine.

In summary, while the formula n=W_out/Q_H is a good starting point for calculating thermal efficiency, it may not always give you an accurate result. It's important to consider all of the factors mentioned above and use the appropriate formula for your specific situation to get a more precise calculation.
 

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