Molecular kinetics

Amount of substance (moles)
ν = N / N_A

Molar mass
M = m / ν

Mass of the molecule
m0 = m / N

Molar mass
M = m0 * N_A

Number of molecules
N = m * N_A / M

Kinetic theory formula
p = 1/3 n m0  v^2

Inner energy of molecules
E = m v^2 / 2

Pressure of perfect gas
p = 2/3 nE

Concentration of molecules
n = N / V

Gas pressure, volume and average kinetic energy
pV / N = 2E / 3

Gas: pressure, volume, temperature
pV / N = kT

Average kinetic energy
E = 3 kT/2

Gas: pressure, concentration, temperature
p = n k T

Gas: amount of substance, volume
ν = V / V_M

Root-mean-square velocity of a gas molecule
v = saknis(3kT / m0)

Ideal gas law (Mendeleev - Clapeyron equation)
pV = mR*T / M

Ideal gas law (Mendeleev - Clapeyron equation)
pV / T = νR

Boyle and Mariotte law (isothermal process)
p1 V1 = p2 V2

Gay-Lussac\'s law (isobaric process)
V1 / T1 = V2 / T2

Thermal expansion of gas
V = V0 α T

Charles\'s law (isochoric process)
p1 / T1 = p2 / T2

The temperature dependence of the gas pressure
p = p0 γ T