How does specific heat of a solid vary with temperature?

The specific heat of an ideal gas varies with temperature T as

The specific heat of metals at low temperature is

The specific heat of many solids at low temperatures varies with absolute temperature T according to the relation S=AT^(3) , where A is a constant. The heat energy required to raise the temperature of a mass m of such a solid from T = 0 to T = 20 K is

Suppose that the entropy grows Iinearly with temperature in a process. How does the heat capacity vary with temperature?

How does chemical adsorption of a gas on the surface of a solid very with temperature ?

Assertion : If the temperature of a star is doubled then the rate loss of heat from it becomes 16 times . Reason : Specific heat varies with temperature.

How does the density of a solid or a liquid vary with temperature? Show that its variation with temperature is given by rho' = rho(1-gammatriangleT) , where gamma is the coefficient of cubical expansion.

How does the boiling point of a liquid vary with pressure?