The specific heat of a given substance increases with an increase in temperature because more degrees of freedom become "unfrozen" at larger temperatures, yeah?
My doubt is this; why does an increase in the number of degrees of freedom directly relate to an increase in the specific heat of the substance? I realize that the energy itself is able to be distributed in more ways due to these additional degrees of freedom that become available but so what? Can this energy not be just as efficiently distributed in the existing degrees of freedom?
Additionally, I realize that there is a flaw in my logic in that more degrees of freedom would obviously make more paths available but why should this increase the "efficiency"?
If the explanation requires for me to have a basic understanding of quantum mechanics, please let me know because I have only just graduated high school.
MUCH thanks in advance :) Regards.