Ideal gases

—> an ideal gas is a theoretical model of a gas

—> in a gas there are many molecules making movements which we can’t predict

Assumptions :

• there are no intermolecular forces between the molecules
• the collisions are elastic (no kinetic energy in a lost between them)
• the volume of the molecules are negligible compared to the volume of the gas

—> the kinetic energy of each molecule is directly proportional to the absolute temperature of said molecule

—> absolute temperature is the unit for the calculations used in thermodynamics

0°C = 273K

( °C -> K = +273
K -> °C = -273)

—> pV = NkT

—> PV/kT = N

(p = pressure (Pa)
V = volume (m^3)
N = number of particles
k = Boltzmans constant (1.38 x 10^-3 m^2) (kgs^-2 k^-1)
T = temperature (K)

Equation can be used to calculate properties of an ideal gas :

—> pV = nRT

—> P = nRT/V
—> V = nRT/P
—> T = PV/nR

(p = pressure (Pa)
V = volume (m^3)
n = number of moles
R = gas constant (8.31)
T = temperature (K)