Isothermal Process: Constant Temperature & Heat Capacity?

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    Isothermal Process
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Homework Help Overview

The discussion revolves around the concept of isothermal processes in thermodynamics, specifically focusing on the behavior of ideal gases, temperature constancy, and heat capacity at constant volume.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of constant temperature in isothermal processes and question the nature of heat capacity at constant volume. There is a discussion about the relationship between heat flow, internal energy, and work done on or by the system.

Discussion Status

The conversation is active, with participants questioning assumptions about heat capacity and internal energy changes. Some guidance is provided regarding the relationship between heat flow and work in isothermal conditions, but no consensus has been reached on specific calculations or interpretations.

Contextual Notes

Participants are navigating the complexities of thermodynamic principles, particularly the definitions and implications of heat capacity and internal energy in the context of isothermal processes. There is an acknowledgment of the historical development of thermodynamic concepts and their implications for current understanding.

grscott_2000
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In an isothermal process, does the temperature of an ideal gas remain constant?
And if so does the heat capacity at constant volume = zero?
 
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temperature remains constant. Why do you think heat capacity is 0 at constant volume?
 
Heat capacity is the ability of a system to store heat as the temperature changes. Ah... I think I see what you mean... Just because a systems temperature doesn't change, doesn't mean it doesn't have a heat capacity right? So I need to calculate the heat capacity at constant volume?
 
grscott_2000 said:
Heat capacity is the ability of a system to store heat as the temperature changes. Ah... I think I see what you mean... Just because a systems temperature doesn't change, doesn't mean it doesn't have a heat capacity right? So I need to calculate the heat capacity at constant volume?
Unfortunately, thermodynamics was developed before everyone really understood what heat was. Heat, in thermodynamics, is really heat flow so the concept of storing "heat" doesn't really work.

A system can store or release energy as a change in internal energy or it can perform work or have work done on it. The sum of those has to be the net heat flowing into/from the system. The relationship between the temperature of a system and the heat flow into/from the system determines the heat capacity.

Now, if the process is isothermal what does that tell you about the change in internal energy of the system? What does that tell you, then, about the relationship between heat flow and work? If work is done, can the volume remain constant? So if there is heat flow, can the volume remain constant if temperature is constant?

AM
 
If a system is isothermal it tells me that there is no change in temperature and therefore there is no change in the internal energy of the system.

I know that a change in internal energy = heat transfer + work. So if heat flow is applied to the system, then under normal conditions, the temperature would rise i.e, it would have greater internal energy. To prevent this, the volume would have to increase… Is this correct?
 
grscott_2000 said:
If a system is isothermal it tells me that there is no change in temperature and therefore there is no change in the internal energy of the system.

I know that a change in internal energy = heat transfer + work. So if heat flow is applied to the system, then under normal conditions, the temperature would rise i.e, it would have greater internal energy. To prevent this, the volume would have to increase… Is this correct?
Correct. Are you trying to find the heat capacity of the gas at constant temperature?

AM
 

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