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Let vecV, V("m s") and Vp respectively...

Let `vecV, V_("m s")` and `V_p` respectively, denote the mean speed, root mean square speed and most probable speed of the molecules in an ideal monatomic gas at absolute temperature T. The mass of a molecule is m. then :

A

No molecule can have speed greater than `sqrt(2)v_("rms")`

B

No molecule can have speed less than `(v_(p))/(sqrt(2))`

C

`v_(p) lt overlinev lt v_("rms")`

D

The average kinetic energy of a molecule is `(3)/(4) mv_(p)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
`V_(P) = sqrt((2kT)/(m)) , overlinev = sqrt((8kT)/(pim)) , V_("rms") = sqrt((3kT)/(m)) implies V_(P) lt overlinev lt V_("max") = (3)/(2) kT = (3)/(4)mv_(P)^(2)`
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