Compute the mean molecular speed v in the light gas hydrogen (H2) and the heavy gas radon (Rn), both at room temperature 293 K. (Use the longest-lived radon isotope, which has a mass of 222 u.) Compare the results.

Compute the mean molecular speed v in the light gas hydrogen (H2) and the heavy gas radon (Rn), both at room temperature 293 K. (Use the longest-lived radon isotope, which has a mass of 222 u.) Compare the results.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter19: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 19.26E

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Question

Compute the mean molecular speed v in the light gas hydrogen (H₂) and the heavy gas radon (Rn), both at room temperature 293 K. (Use the longest-lived radon isotope, which has a mass of 222 u.) Compare the results.

Expert Solution

Step 1

The mean molecular speed is the average of all the velocities of the gas. The average speed of the molecule can be calculated with the help of the following formula.

$ν = \sqrt{\frac{3 R T}{M}} R = 8.314 J / K . m o l T = t e m p e r a t u r e I n K M = m o l a r m a s s i n K g / m o l$

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