Carnot Cycle Graphs: Understand Work and Temperature

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SUMMARY

The discussion centers on the interpretation of Carnot Cycle graphs, specifically the Volume vs. Pressure graph, where the area under the curve represents work done. Users express confusion about correlating this graph with Pressure vs. Temperature and Temperature vs. Volume graphs. It is clarified that the area in the Pressure vs. Temperature graph does not represent work but rather indicates phase existences. For energy and work calculations, the P vs. V graph is the appropriate choice.

PREREQUISITES
  • Understanding of Carnot Cycle principles
  • Familiarity with thermodynamic graphs
  • Knowledge of phase diagrams
  • Basic concepts of work and energy in thermodynamics
NEXT STEPS
  • Study the mathematical representation of phase diagrams
  • Learn how to calculate work using the P vs. V graph
  • Explore the relationships between different thermodynamic variables
  • Investigate the implications of the Carnot Cycle on efficiency
USEFUL FOR

Students and professionals in thermodynamics, engineers working with heat engines, and anyone seeking to deepen their understanding of Carnot Cycle graphs and their applications in energy calculations.

Bengo
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Hello,

In the Volume vs. pressure graph I understand the area under the curve is work. However, I have a hard time reconciling this graph with a pressure vs. temperature or a temperature vs. volume graph. What does the area inside the box represent? Work? Like which parts on the P vs. V graph correspond to the parts on these graphs. I'm so confused. I would appreciate any help. Thanks.
 
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Bengo said:
Hello,

In the Volume vs. pressure graph I understand the area under the curve is work. However, I have a hard time reconciling this graph with a pressure vs. temperature or a temperature vs. volume graph. What does the area inside the box represent? Work? Like which parts on the P vs. V graph correspond to the parts on these graphs. I'm so confused. I would appreciate any help. Thanks.

They are used to represent phase diagrams. The area under pressure temperature graph denotes phase existences and is mathematically not denoting anything.

http://en.wikipedia.org/wiki/Phase_diagram
 
If you want to calculate energy and work then P against V (it is usually this way) rather than P or V against T is the graph you need.
 

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