The specific heats are particularly useful for thermodynamic calculations involving the ideal gas model.
2.
:The ideal gas model assumes that the gas molecules don't interact with each other.
3.
The ideal gas model tends to fail at lower temperatures or higher pressures, when intermolecular forces and molecular size become important.
4.
:: In particular, look at the assumption about the actual volume occupied by the gas molecules that is built into the ideal gas model.
5.
The ideal gas model has been explored in both the Newtonian dynamics ( as in " kinetic theory " ) and in quantum mechanics ( as a " gas in a box " ).
6.
In particular, the short average distances between molecules increases intermolecular forces between gas molecules enough to substantially change the pressure exerted by them, an effect not included in the ideal gas model.
7.
The ideal gas model has also been used to model the behavior of electrons in a metal ( in the Drude model and the free electron model ), and it is one of the most important models in statistical mechanics.
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