The ideal gas model is used to predict the behavior of gases and is one of the most useful and commonly used substance models ever developed. I was found, that if we confine 1 mol samples of various gases in identical volume and hold the gases at the same temperature, then their measured pressures are almost the same. Moreover when we confine gases at lower densities the differences tend to disappear. It was found, such gases tend to obey the following relation, which is known as the ideal gas law:
pV = nRT
p is the absolute pressure of the gas
n is the amount of substance
T is the absolute temperature
V is the volume
R is the ideal, or universal, gas constant, equal to the product of the Boltzmann constant and the Avogadro constant. The power of the ideal gas law is in its simplicity. When any two of the thermodynamic variables, p, v, and T are given, the third can easily be found.
The ideal gas model is based on following assumptions:
- The pressure, volume, and temperature of an ideal gas obey the ideal gas law.
- The specific internal energy is only a function of the temperature: u = u(T)
- The molar mass of an ideal gas is identical with the molar mass of the real substance
- The specific heats — cp and cv — are independent of temperature which means that they are constants.
From microscopic point of view it is based on these assumptions:
- The molecules of the gas are small, hard spheres.
- The only forces between the gas molecules are those that determine the point-like collisions.
- All collisions are elastic and all motion is frictionless.
- The average distance between molecules is much larger than the size of the molecules.
- The molecules are moving in random directions.
- There are no other attractive or repulsive force between these molecules.