States of Matter - Result Question 20

####20. The root mean square velocity of an ideal gas at constant pressure varies with density (d) as

(a) d2

(b) d

(c) d

(d) 1/d

(2001,S,1M)

Show Answer

Solution:

  1. Root mean square velocity (urms)=3RTM

Also,

p⋅M=dRT

Substituting for RT/M in urms expression gives,

urms=3pd⇒urms∝1d

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