States of Matter - Result Question 18
####18. By what factor does the average velocity of a gaseous molecule increase when the temperature (in Kelvin) is doubled?
[2011]
(a) 2.0
(b) 2.8
(c) 4.0
(d) 1.4
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Solution:
- (d) Average velocity $=\sqrt{\frac{8 R T}{\pi M}}$
$ \begin{aligned} & \text{ i.e., } v \propto \sqrt{T} \\ & \therefore \frac{V_2}{V_1}=\sqrt{\frac{2 T}{T}}=1.41 \end{aligned} $
