Question

What is the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2 atm pressure and temperature 17°C? Take the radius of nitrogen molecule 1A, molecular mass = 28, kB = 1.38 x 10^-23 J mol^-1 K^-1 and 1 atm = 1.013 x 10⁵ Nm^-2

(1) 2.2 x 10^-7m, 2.58 x 10⁹

(2) 1.1 x 10^-7m, 4.58 x 10⁸

(3) 1.1 x 10^-7m, 4.58 x 10⁹

(4) 2.2 x 10^-7m, 3.58 x 10⁹

Answer 1

(3) 1.1 x 10^-7m, 4.58 x 10⁹

Mean free path of a molecule of diameter

The collision frequency equals the number of collisions per second.