Q. 6

Expert-verifiedFound in: Page 566

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A lottery machine uses blowing air to keep 2000 Ping-Pong balls bouncing around inside a box. The diameter of a Ping-Pong ball is . What is the mean free path between collisions? Give your answer in.

The mean free path between collision is .

Number of Ping-Pong balls in a lottery machine

Lottery machine dimension

The diameter of a Ping-Pong ball

Due to collisions with other molecules, a molecule undergoing distance travel experiences a delay between diffusing to a different position due to these collisions.

The molecules need a certain amount of time to diffuse to a new position.

In equation (20.3), the mean free path is the distance the molecules travel between collisions on average.

radius of the particle .

The number density is given by equation,

number of particles

volume of the box.

To calculate the volume,

Use equation (2) to get number density,

Diameter of the ball ,

Then the radius will be,

Put the values for and into equation (1) to get ,

Hence, the mean free path between collision is

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