Example of entropy as function of temperature only

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Changes in entropy can be expressed as a function of temperature, specific volume, and pressure, with the fundamental thermodynamic equation ds = du/T + pdv/T. Entropy can be represented as s(T,v) or s(U,v), where internal energy U may depend on temperature and specific volume. The discussion raises the question of when entropy can be considered a function of temperature alone. It is noted that for most liquids and solids, where intermolecular spacing remains constant, assuming s(T) is valid as changes in specific volume have minimal impact on entropy. This highlights the conditions under which temperature can be the sole variable influencing entropy.
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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