Mean free path is given as

Collision frequency is given as

Successive collision time ≅ 500 x (Collision time)

Pressure inside the cylinder containing nitrogen will be,

P =

Temperature inside the cylinder is given as T = 170 C = 290 K

Radius of a nitrogen molecule is given as r = 1.0 Å = 1 x 1010 m

Diameter will be

Molecular mass of nitrogen is known as

The root mean square speed of nitrogen is given by the expression,

Where,

R = universal gas constant having value

Hence,

On calculation, we get,

= 508.26 m/s

The mean free path (l) is given by relation:

Where,

is the Boltzmann constant having value

So,

We get,

Collision frequency

On calculation,

On calculation, we get

On further calculation, we get

Time taken between successive collisions:

Hence,

On calculation, we get,

= 500

As a result, the time taken between successive collisions is 500 times the time taken for a collision.