# C4 Kinetic Theory of Gases and Ideal Gas Laws

March 6, 2022•176 words

What is an ideal gas

Are the gases in real ideal gas?

Kinetic model of Gases

Assumptions

-Molecules of gas behave as identical, hard, perfectly elastic sphere

-The volume of molecules is negligible compared to the volume of the container

-The time of a collision is negligible compared to time between collision

-There are no intermolecular forces

-The molecules are in continuous random motion.

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Ideal Gas Laws

{Boyle's Law

-The absolute pressure is inversely proportional to the volume of a fixed mass of gas, provided the temperature remains unchanged within a closed system}

P proportional 1/V --> PV=k

{Charle's Law

-the absolute temperature is directly proportional to the volume of a fixed mass of gas, provided the pressure remains unchanged within a closed system

V proportional T --> V/T=k

Combined equation PV/T=k gradient proportional n, PV/T proportional n, PV/T=nR

Equation of state for an Ideal Gas

PV=nRT

Where, P=pressure(Pa, Nm^{-2),} V=volume(m^{3),} n=number of moles(mol),

R=universal gas constant(8.31Jmol^{-1K-1),} T=Temperature(K), R/N[A]=k

Ideal Gas Equation

Where, P=Pressure, V=Volume, N=number of molecules, k=Boltzmann constant(1.38*10 ^{-23JK-1)}
PV=NkT, Pv=1/3Nm, NkT=1/3Nm, 1/2*3kT=m*1/2, E=3/2kT