Statistical Mechanics - Specific Heat Capacity

[A-fil]

Homework Statement

Give an physical explanation to why the specific heat capacity goes to zero as temperature goes to zero.

Homework Equations

The Attempt at a Solution

I was simply thinking that around absolute zero the average kinetic energy of the particles should be zero, meaning that the atoms in the solid would be pretty much at a halt. Thus, even if we just add an infinitesimal amount of heat the increase in average kinetic energy would be relatively big, implying that the specific heat capacity goes to zero. Even I myself think that that last part is flawed, so I'm looking for any better explanation of this fenomenon. Any help appreciated!

 

[ardie]

using the fundumental thermodynamic identity, and the third law of thermodynamics, one requires that the heat capacity (at constant pressure) becomes and infinitisimal quantity at absolute zero.