# If three molecules have velocities 0.5,1,2km/s respectively, calculate the ratio of the root mean square speed and average speed.

Question
24 views

If three molecules have velocities 0.5,1,2km/s respectively, calculate the ratio of the root mean square speed and average speed.

check_circle

Step 1

Let the velocities of the three molecules be denoted as v1, v2 and v3.

Let the root mean square velocity of the three molecules be denoted as vrms and the average velocity of the three molecules be denoted as vav.

The root mean square speed is calculated as,

Step 2

Substitute 0.5 km/s for v1, 1 km/s for v2 and 2 km/s for v3 and solve for vrms as.

Step 3

The average speed is ...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in
SciencePhysics

### Kinetic Theory of Gases 