How Does Pressure Affect Heat Capacity in Identical Systems?

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SUMMARY

The discussion centers on the relationship between pressure and heat capacity in identical systems. It is established that heat capacity at constant volume is lower than at constant pressure due to the work done by the system when it expands. The query posed about two identical systems heated at constant pressure reveals that thermodynamically, it is impossible to compare their heat capacities without altering the number of molecules, temperature, or volume. Thus, the heat capacity cannot be determined solely based on pressure differences.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically heat capacity.
  • Knowledge of constant pressure and constant volume conditions.
  • Familiarity with the ideal gas law and molecular behavior.
  • Basic concepts of work done by a system during expansion.
NEXT STEPS
  • Research the concept of heat capacity in thermodynamics.
  • Learn about the ideal gas law and its implications on heat capacity.
  • Explore the differences between constant pressure and constant volume processes.
  • Investigate the effects of molecular quantity and temperature on heat capacity.
USEFUL FOR

Students and professionals in physics and engineering, particularly those studying thermodynamics and heat transfer principles.

dripdrop
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I understand that the heat capacity of something run at constant volume is lower than at constant pressure, as at constant pressure the substance can expand, so some of the energy put into the system is used for work.

If i have two identical systems and heat them under constant pressure conditions, one system at higher pressure than the other. which will have the higher heat capacity and why?

cheers.
 
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dripdrop said:
If i have two identical systems and heat them under constant pressure conditions, one system at higher pressure than the other. which will have the higher heat capacity and why?

cheers.

This condition is impossible thermodynamically. To do this, you need to add more molecules or increase temperature, or decrease volume.
 

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