Kinetic Theory Of Gases Question 46
One gram mole of nitrogen at $ 27{}^\circ C $ and 1 atm pressure is contained in a vessel and the molecules are moving with their rms speed. The number of collisions per second which the vessel’s wall is
Options:
A) $ 2\times 10^{27} $
B) $ ~2\times 10^{20} $
C) $ 2\times 10^{10} $
D) $ ~2\times 10^{24} $
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Answer:
Correct Answer: A
Solution:
Number of collisions can be calculated as $ 2(mv _{rms})= \frac{PA}{d} $ $ \
Therefore n=[ \frac{PA}{2mv _{rms}} ];v _{rms}=\sqrt{\frac{3kT}{m}} $
BETA
