Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

In this lesson, we will learn how to calculate the temperature of a gas in Kelvin, given the root-mean-square speed of the particles within it.

Q1:

Five bicyclists are riding at the following speeds: 5.40 m/s, 5.70 m/s, 5.80 m/s, 6.00 m/s, and 6.50 m/s.

What is their average speed?

What is their root mean square (rms) speed?

Q2:

The root-mean-square speed of carbon dioxide molecules in a flame is found to be 1 3 5 0 m/s. Find the temperature of the flame. Use a value of 44.0 g/mol for the molar mass of carbon dioxide molecules.

Q3:

Typical root-mean-square speeds of molecules in gases are large, even at low temperatures. Find the root-mean-square speed for helium atoms at a temperature of 5.00 K.

Don’t have an account? Sign Up