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Four container are filled with monatomic...

Four container are filled with monatomic ideal gases. For each container, the number of moles, the mass of an individual atom and the rms speed of the atoms are expressed in terms of n, m and `v_(rms)` respectively. If `T_(A),T_(B),T_(C)andT_(D)` are their temperature respectively then which one of the options correctly represents the order?

A

`T_(B)=T_(C)gtT_(A)gtT_(D)`

B

`T_(D)gtT_(A)gtT_(C)gtT_(B)`

C

`T_(D)gtT_(A)=T_(B)gtT_(C)`

D

`T_(B)gtT_(C)gtT_(A)gtT_(D)`

Text Solution

Verified by Experts

The correct Answer is:
C
`v_(rms)=sqrt((3kT)/(m))impliesT=(mv_(rms)^(2))/(3k)becauseTpropmv_(rms)^(2)`
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