Molar heat capacity at constant volume

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Discussion Overview

The discussion centers on the concept of molar heat capacity at constant volume and its relationship to the heat capacity at constant pressure, specifically in the context of ideal gases. Participants explore how the number of moles affects these heat capacities.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant proposes that if the temperature rise of 2 moles of an ideal gas allows for the calculation of the molar heat capacity at constant volume (cv) using the formula dU/dT, then the molar heat capacity is simply half this value for 1 mole.
  • Another participant agrees that this reasoning holds true for processes occurring at constant volume.
  • A participant inquires whether the same principle applies to heat capacity at constant pressure.
  • The same participant receives confirmation that the principle also applies to heat capacity at constant pressure.

Areas of Agreement / Disagreement

Participants generally agree on the relationship between the number of moles and the molar heat capacities at both constant volume and constant pressure, though the discussion does not explore any competing views or unresolved issues.

Contextual Notes

The discussion does not address potential limitations or assumptions regarding the ideal gas behavior or the specific conditions under which these relationships hold.

LivvyS
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Hi everyone,

If you know the temperature rise of 2 moles of an ideal gas when a known amount of energy is transferred to it as heat, (hence are able to calculate cv by dU/dT); is the molar heat capacity simply half this value as it is half the number of moles?
 
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If the process takes place at constant volume, yes.
 
Thanks for the quick reply!
Is the same true of heat capacity at constant pressure?
 
LivvyS said:
Thanks for the quick reply!
Is the same true of heat capacity at constant pressure?
Yes.
 

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