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A sample of helium and neon gases has a ...

A sample of helium and neon gases has a temperature of `300 K` and pressure of `1.0 atm`. The molar mass of helium is `4.0 g//mol` and that of neon is `20.2 g//mol`.
(a) Find the rms speed of the helium atoms and of the neon atoms.
(b) What is the average kinetic energy per atom of each gas ?

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
(a) `v_(rms) = sqrt (3 R T)/M`
For He Gas : `v_(rms) = sqrt((3 xx 8.31 xx 300)/(4 xx 10^-3))`
For Ne gas : `v_(rms) = sqrt((3 xx 8.31 xx 300)/(20.2 xx 10^-3))`
= `609 m//s`
(b) Each gas is monoatomic for which degree of freedom `f = 3`. Hence, average kinetic energy of one atom
=`f/2 k T = 3/2 k T`
=`(3/2) (1.38 xx 10^-23)(300)`
= `6.21 xx 106-21 J`.
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