Kinetic Theory Of Gases Question 43
Question: Five gas molecules chosen at random are found to have speeds of 500, 600, 700, 800 and 900 m/s
Options:
A) the root mean square speed and the average
B) the root mean square speed is 14 m/s higher than the average speed.
C) the root mean square speed is 14 m/s lower than the average speed.
D) the root mean square speed is $ \sqrt{14}\text{ m/s} $ higher than the average speed.
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ v _{av}=[ \frac{500^{2}+600^{2}+700^{2}+800^{2}+900^{2}}{5} ] $
$ =700m/s $ and $ =,12.42,\times {{10}^{-21}},J $
$ =714m/s $ Thus $ v _{rms} $ is greater than average speed by 14m/s.
BETA
