Suppose the electron in a metal attain a state of zero heat capacity, what would happen?
Zero heat capacity means an infinitesimally small amount of energy will increase the temperature by an infinitely large amount.
An object has a non-zero heat capacity because it has internal degrees of freedom that it can channel absorbed energy into. The more internal degrees of freedom the higher the heat capacity.
However, the moment when we add the smallest amount of heat the temperature increases, some states become accessible and the specific heat becomes non-zero. The zero specific heat is more of an idealized limit than a real phenomenon.
No transient state is available with zero heat capacity. Your system would move to a new steady state (if boundary conditions change) instantaneously.
Zero-specific heat is an ideal phenomenonm because, the system temperature increases infinitely for a very small energy.
Thanks you guys for you inputs, I will read them and come back to you with a more concrete question on your answers
Golden Gadzirayi Nyambuya , I'm faced with a similar case but in a different field altogether. I will have to inbox or call you!
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