Calculating Thermal Efficiency: Is There More to Consider?

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The thermal efficiency of a heat engine can be calculated using the formula n=W_out/Q_H, but this may not yield accurate results if not all input energy is considered. Factors such as friction, incomplete combustion, and operational conditions can lead to energy losses that affect efficiency. Including input energy in the calculation, using n=(W_out+Q_in)/Q_in, may provide a more precise measure. The type of heat engine and its operating conditions also play significant roles in determining efficiency. Overall, a comprehensive approach that accounts for various factors is essential for accurate thermal efficiency calculations.
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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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