Log In Start studying!
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 6

Expert-verified
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 566

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

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 .

See the step by step solution

Step by Step Solution

Step 1: Given Information 

Number of Ping-Pong balls in a lottery machine

Lottery machine dimension

The diameter of a Ping-Pong ball

Step 2: Explanation (Part a)

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 ,

Step 3: Final Answer

Hence, the mean free path between collision is

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.