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 speed
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 higher than the average speed.
D) the root mean square speed is $ \sqrt{\frac{3RT}{M}}\text{ m/s} $ higher than the average speed.
Show Answer
Answer:
Correct Answer: B
Solution:
$ v _{av}=[ \frac{500+600+700+800+900}{5} ] $
$ v =700,\text{m/s} $ and $ E =,12.42,\times {{10}^{-21}},J $
$ v_{rms} =714m/s $ Thus $ v _{rms} $ is greater than average speed by 14m/s.
BETA
