Kinetic Gas Equation Derivation

Q1

What is the kinetic theory of gases?

The kinetic theory of gases describes a gas as a large number of submicroscopic particles such as atoms and molecules, all of which are in random and constant motion. The randomness arises from the particles’ collisions with each other and with the walls of the container.

Q2

What are the assumptions of kinetic theory?

Following are the assumptions of kinetic gas theory:

• The molecules do not interact with each other.
• The collision of molecules with themselves or walls will be an elastic collision.
• The momentum is conserved.
• Kinetic energy will be conserved.

Q3

What is the ideal gas law?

The ideal gas law states that the product of the pressure and the volume of one gram molecule of an ideal gas is equal to the product of the absolute temperature of the gas and the universal gas constant.

Q4

Why is the ideal gas inaccurate

The ideal gas only holds true when the conditions at consideration are ideal. Under high pressure and low temperature, the molecular size and the intermolecular forces become important to be considered and are no longer negligible, so essentially the ideal gas law won’t work.

Q5

Who derived the ideal gas equation?

Benoît Paul Émile Clapeyron derived the ideal gas.