Find the maximum thermodynamic efficiency

In summary, the question is asking for the maximum thermodynamic efficiency of an engine operating between 250°C and 25°C. The relevant equation is Ec=1-Tc/Th, with Tc and Th representing the temperatures in Kelvin. It is recommended to always use Kelvin in thermodynamics to avoid confusion.
  • #1
kelvin56484984
29
0

Homework Statement


If an engine operates between 250°C and 25°C, what is its maximum thermodynamic efficiency?

Homework Equations


Ec=1-Tc/Th

The Attempt at a Solution


1-25/250
=90%
or
1-(25+273)/(250+273)
=43%

In this question,which one should I use K or ºC ?
thank you
 
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  • #2
kelvin56484984 said:

Homework Statement


If an engine operates between 250°C and 25°C, what is its maximum thermodynamic efficiency?

Homework Equations


Ec=1-Tc/Th

The Attempt at a Solution


1-25/250
=90%
or
1-(25+273)/(250+273)
=43%

In this question,which one should I use K or ºC ?
thank you
What does Carnot's Theorem say about this?

https://en.wikipedia.org/wiki/Carnot's_theorem_(thermodynamics)
 
  • #3
If you always use Kelvin you will avoid ever worrying about this again. Always just convert to Kelvin before doing anything else and you won't go wrong. The only time to use Celsius in thermodynamics or heat transfer is if the question want the answer in Celsisus - in that case convert to Celsius at the very last step after using Kelvin for calculations.
 

Related to Find the maximum thermodynamic efficiency

1. What is thermodynamic efficiency?

Thermodynamic efficiency is a measure of the ratio between the amount of work or energy output from a system and the amount of energy input into the system. It is a measure of how well a system converts input energy into useful work.

2. How is maximum thermodynamic efficiency determined?

The maximum thermodynamic efficiency is determined by using the Carnot efficiency formula, which is based on the Carnot cycle. This formula takes into account the temperature of the system and the temperature of the surroundings.

3. What factors affect the maximum thermodynamic efficiency?

The maximum thermodynamic efficiency can be affected by several factors, including the temperature difference between the system and the surroundings, the type of energy conversion process, and any losses or inefficiencies within the system.

4. Why is finding the maximum thermodynamic efficiency important?

Finding the maximum thermodynamic efficiency is important because it allows us to understand the theoretical limit of a system's performance. It helps us to identify any potential improvements or inefficiencies within a system and can guide the design of more efficient systems.

5. Can the maximum thermodynamic efficiency be greater than 100%?

No, the maximum thermodynamic efficiency cannot be greater than 100%. This is because it is a theoretical limit based on the Carnot cycle, which assumes that all energy input into the system is converted into useful work. In reality, there are always losses and inefficiencies that prevent a system from achieving 100% efficiency.

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