nasu said:The Debye model is applied to the heat capacity of the lattice. This contribution applies to metals too.
In metals there is another contribution from the free electrons but it is quite small and it shows up only at very low temperatures.
So yes, there is a range of temperatures in metals where the cubic law applies quite well.
See this illustration, for example:
http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/imgheat/silisph.gif
Heat capacity, also known as specific heat, is the amount of heat energy required to raise the temperature of a substance by one degree Celsius or Kelvin.
Metallic systems have a higher heat capacity compared to other systems due to the high density and strong bonding of metallic elements, which allows them to store more heat energy.
Yes, the heat capacity of a metallic system can change depending on factors such as temperature, pressure, and composition of the metal. Changes in these factors can affect the energy required to raise the temperature of the system.
The heat capacity of a metallic system typically increases with increasing temperature, as the atoms in the metal vibrate more vigorously at higher temperatures, requiring more heat energy to raise their temperature.
Heat capacity for metallic systems is typically measured using calorimetry, where the amount of heat energy absorbed or released by a sample of metal is measured as its temperature changes. This data can then be used to calculate the specific heat capacity of the metal.