Kinetic Theory Of Gases Question 142
Question: A mixture of two gases X and Y is enclosed, at constant temperature. The relative molecular mass of X, which is diatomic, is 8 times that of Y which is monoatomic. What is the ratio of the r.m.s speed of molecules of Y to that of molecules of X?
Options:
A) 2
B) $ 2\sqrt{2} $
C) 4
D) 8
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ v=\sqrt{\frac{3RT}{M}}\Rightarrow \frac{V _{x}}{V _{y}}=\sqrt{\frac{M _{y}}{M _{x}}} $
$ \Rightarrow $ $ =\frac{V _{x}}{V _{y}}=\sqrt{\frac{M _{y}}{8M _{y}}}\Rightarrow \frac{V _{y}}{V _{x}}=2\sqrt{2} $
BETA
