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Three closed vessels A, B and C are at t...

Three closed vessels A, B and C are at the same temperature T and contain gases which obey the Maxwell distribution of speed. Vessel A contains only `O_(2)`, B only `N_(2)` and C a mixture of equal quantities of `O_(2)` and `N_(2)`. If the average speed of `O_(2)` molecules in vessel A is `v_(1)`, that of the `N_(2)` molecules in vessel B is `v_(2)`, the average speed of the `O_(2)` molecules in vessel C will be

A

`(v_(1)+v_(2))//2`

B

`v_(1)`

C

`(v_(1)v_(2))^(1//2)`

D

`v_(1)//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Average speed of gas molecules,
`v_(av)=sqrt((8RT)/(piM_(0))),v_(av)propsqrt(T)`
It depends on temperature and molecules mass.
At same temperature average speed of `O_(2)` molecule is same in vessel A and C and is equal to `v_(1)`.
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