19.5:
Kinetic Theory of an Ideal Gas
A mole is defined as the amount of substance that contains the same number of elementary entities as the number of atoms in 12 grams of carbon.
Atoms, molecules, and other particles are some elementary entities that can be represented in moles. The number of molecules or atoms in a mole is known as Avogadro's number.
The molar mass of any compound is defined as the mass of 1 mole of that compound, and is represented in grams per mole.
The kinetic molecular theory of gases is a model based on several assumptions, which explains the physical characteristics of gases at the molecular level.
The gas molecules in the container obey Newton's law and are in continuous motion, which is random and isotropic.
The gas molecules behave as point particles, as the overall volume occupied by gas molecules is small in comparison to the total volume of the container.
The collision of gas particles with each other and with the walls of the container are elastic and thus result in no net energy loss.
19.5:
Kinetic Theory of an Ideal Gas
A mole is defined as the amount of any substance that contains as many molecules as there are atoms in exactly 12 grams of carbon-12. An Italian scientist Amedeo Avogadro (1776–1856) formed the hypothesis that equal volumes of gas at equal pressure and temperature contain equal numbers of molecules, independent of the type of gas. Later, the hypothesis was developed to form the SI unit for measuring the amount of any substance.
The number of molecules in one mole is called Avogadro's number (NA), and the value of Avogadro's number is now known to be NA = 6.02 × 1023 mol−1. Avogadro's number relates the mass of an amount of substance in grams to the number of protons and neutrons in an atom or molecule (12 for a carbon-12 atom), which roughly determines its mass. The unit accepted for use with the SI is the unified atomic mass unit (u), also called the dalton.
The kinetic theory of gasses is a theory that relates the macroscopic properties of gasses to the motion of the molecules. The theory is based on several assumptions about molecules in an ideal gas.
- There is a very large number N of molecules, all identical and each having mass m.
- The molecules obey Newton's laws and move in a random, continuous, isotropic motion, that is, it is the same in all directions.
- The molecules are much smaller than the average distance between them, so their total volume is much less than that of their container (which has volume V). Thus, the volume of a mole of gas molecules is negligible compared to the volume of a mole of gas in the container.
- The molecules make perfectly elastic collisions with the walls of the container and with each other. The other forces acting on the molecules include gravity and the attractions represented by the Van der Waals constant, are negligible .
Suggested Reading
This text is adapted from Openstax, University Physics Volume 2, Section 2.2: Pressure, Temperature, and RMS Speed