Q69 / 200 · NEET 2011 (Screening) · Chemistry

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

  • A
    2.8
  • B
    4.0
  • Correct answer
    C
    1.4
  • D
    2.0

Solution

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

Hence, the correct answer is option: 'C'.

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