The Effect of Increasing the Size of a Solid on Its Entropy

[LCSphysicist]

Homework Statement

All below

Relevant Equations

All below

Does increase the size of the solid body increase its entropy? I was thinking about it using the Einstein model of solid.

S = k*lnΩ
Ω = (q+n-1)!/((q)!(n-1)!)

I am not sure how this question should be answer, i think if we talk about rigid bodies, the question don't even have sense, but about deformable bodies, technically increase its extension would not increase the entropy.
However, enlarge a body means to do work on it, that is, give it a additional energy.
Seeing by this way, if it would possible to enlarge a body and at the same time make it lost energy, in such way that the net energy change is zero, so we would end with a body/system greater than the one first, with the same entropy S = k*lnΩ.

Anyway maybe i am mixing quantum and classical mechanics in this topic, if this is the case, sorry, i don't know a lot quantum mechanics yet.

 

[Isaac0427]

Homework Statement:: All below
Relevant Equations:: All below

Does increase the size of the solid body increase its entropy? I was thinking about it using the Einstein model of solid.

S = k*lnΩ
Ω = (q+n-1)!/((q)!(n-1)!)

I am not sure how this question should be answer, i think if we talk about rigid bodies, the question don't even have sense, but about deformable bodies, technically increase its extension would not increase the entropy.
However, enlarge a body means to do work on it, that is, give it a additional energy.
Seeing by this way, if it would possible to enlarge a body and at the same time make it lost energy, in such way that the net energy change is zero, so we would end with a body/system greater than the one first, with the same entropy S = k*lnΩ.

Anyway maybe i am mixing quantum and classical mechanics in this topic, if this is the case, sorry, i don't know a lot quantum mechanics yet.

When you say you are increasing the size of the solid, are you adding oscillators/atoms (increasing N) or increasing the distance between oscillators/atoms?