Kinetic Theory of Gases Formula

Question 1

Pressure of gas

Answer 1

P = F / A

where F = force, and A = area of container collisions are taking place at

Question 2

Force exerted by one particle on the container wall

Answer 2

F = mv² / L

where m = mass of particle, v = velocity, and L = distance travelled (width of container)

Question 3

Force exerted by N particles in a 3D space

Answer 3

F = (N / 3) x (m / L) x (v[rms])²

where N = number of particles, m = mass of particles, L = distance travelled (width of container), v[rms] = root-mean-square speed

Question 4

Pressure of an ideal gas
(for N number of particles)

Answer 4

PV = 2(N / 3) x (1/2 x m x (v[rms])²)

where P = pressure, v = volume, N = number of particles, m = mass of particles, and v[rms] = root-mean-square

Question 5

Average kinetic energy in a gas

Answer 5

KE = 1/2 x m x v[rms]² = 3/2 x k x T

where k = Boltzmann’s Constant