Behaviour of Perfect Gases and Kinetic Theory of Gases — Formula Sheet

PV = RT

PV = μRT

PV = nkT

R = PV/(μT)

P = (1/3)ρv̄² = (2/3)E

P = (1/3)(mn/V)v̄²

v_rms = √(v̄²) = √(3P/ρ) = √(3RT/M)

v1rms/v2rms = √(M2/M1)

(1/2)m v̄² = (3/2)kT

PV = constant

V ∝ T

n1 = n2

P = P1 + P2 + P3 + ...

r ∝ 1/√ρ

The rms speed of gas molecules is v_rms = √(v̄²).

It can also be written as v_rms = √(3P/ρ).

For 1 mole, v_rms = √(3RT/M).

For 1 mole, PV = RT.

For μ moles, PV = μRT.

k = 1.38×10⁻²³ J K⁻¹.