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Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains
neon (monoatomic), the second contains chlorine (diatomic) and third contains uranium hexafluoride
(polyatomic). Arrange these on the basis of their root mean square speed \mathrm{(v_{rms}) }and choose the correct answer
from the options given below :

Option: 1

\mathrm{V_{rms}\left ( mono \right )> v_{rms}\left ( dia \right )> v_{rms}\left ( poly \right )}


Option: 2

\mathrm{V_{rms}\left ( dia \right )< v_{rms}\left ( poly\right )< v_{rms}\left ( mono \right )}


Option: 3

\mathrm{V_{rms}\left ( mono \right )< v_{rms}\left ( dia\right )< v_{rms}\left ( poly\right )}


Option: 4

\mathrm{V_{rms}\left ( mono \right )= v_{rms}\left ( dia\right )= v_{rms}\left ( poly\right )}


Answers (1)

best_answer

\mathrm{V_{RMS}=\sqrt{\frac{\gamma RT}{m}}}.............(1)

\mathrm{\gamma =1+\frac{2}{f}}            \mathrm{so \: \: r_{monochromic}> r_{diatomic}> r_{poly.}}

\mathrm{V_{mono}> V_{diatomic}> V_{poly.}}

Posted by

Rakesh

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