Example of entropy as function of temperature only

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Discussion Overview

The discussion revolves around the relationship between entropy and temperature, specifically exploring scenarios where entropy can be considered a function of temperature alone. Participants reference thermodynamic principles and seek examples or validation of this assumption in different states of matter.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants propose that changes in entropy can be expressed through the fundamental equations of thermodynamics, indicating dependencies on temperature, specific volume, and pressure.
  • There is a suggestion that if specific volume is held constant, then entropy can be treated as a function of temperature alone.
  • One participant questions whether the assumption that entropy is a function of temperature only is valid for most liquids and solids, citing constant intermolecular spacing as a reason to ignore changes in specific volume.

Areas of Agreement / Disagreement

Participants express varying degrees of uncertainty regarding the conditions under which entropy can be assumed to depend solely on temperature. No consensus is reached on specific examples or the validity of the assumption across different states of matter.

Contextual Notes

Participants do not clarify the assumptions regarding the constancy of specific volume or the conditions under which entropy can be simplified to a function of temperature alone. The discussion lacks definitive examples or mathematical proofs to support the claims made.

hoomanya
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Hi, I know that changes in entropy can be expressed as a function of temperature, specific volume, and pressure using the fundamental equations of thermodynamics: ds = du/T+pdv/T, where the changes in entropy can be caused by either changing the specific volume or the internal energy.
I also know that entropy itself can be expressed as s(T,v) or s(U,v) where U is possibly function of T and v itself? I was wondering if anyone knew of examples of where entropy itself, can be assumed to be dependent on temperature alone.
Thank you in advance.
 
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hoomanya said:
Hi, I know that changes in entropy can be expressed as a function of temperature, specific volume, and pressure using the fundamental equations of thermodynamics: ds = du/T+pdv/T, where the changes in entropy can be caused by either changing the specific volume or the internal energy.
I also know that entropy itself can be expressed as s(T,v) or s(U,v) where U is possibly function of T and v itself? I was wondering if anyone knew of examples of where entropy itself, can be assumed to be dependent on temperature alone.
Thank you in advance.

If entropy is a function of T and v, S(T, v), and v is constant, isn't S then a function of T alone?
 
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Dr. Courtney said:
If entropy is a function of T and v, S(T, v), and v is constant, isn't S then a function of T alone?

ooops! Thanks!
 
Hi again, am I right that s(T) is a valid assumption for most liquids and solid because the intermolacular spacing is constant and hence changes in entropy due to changes in specific volume can be ignored?
 

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