The rms velocity of CO(2) at temperature...

The `rms` velocity of `CO_(2)` at temperature T(in Kelvin) is x cm `s^(-1)`. At what temperature (in Kelvin) would the `rms` velocity of nitrous oxide be `4 x cm s^(-1)`?

A

16 T

B

2 T

C

4 T

D

32 T

Text Solution

Verified by Experts

The correct Answer is:

A

`(u_(CO_(2)))/(u_(N_(2)O))=sqrt((T_(CO_(2))xxM_(N_(2)O))/(M_(CO_(2))xxT_(N_(2)O)))`
`rArrx/(4x)=sqrt((T_(CO_(2)))/44xx44/(T_(N_(2)O)))rArrT_(N_(2)O)=16T_(CO_(2))`

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