By what factor does the average velocity of a gaseous molecule increase when the temperature (in Kelvin) is…

By what factor does the average velocity of a gaseous molecule increase when the temperature (in Kelvin) is doubled?
  1. 2.8
  2. 4.0
  3. 1.4
  4. 2.0

Solution

Average velocity $=\sqrt{\frac{8 R T}{\pi M}}$ $\begin{aligned} & \therefore V_{a v} \propto \sqrt{T} \\ & \text { or } \frac{\left(V_{a v}\right)_2}{\left(V_{a v}\right)_1}=\sqrt{\frac{2 T}{T}}=1.4 \end{aligned}$

Asked in: NEET 2011 (Screening)

Practice more States of Matter questions on Aicharya