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If the temperature at which the r.m.s. v...

If the temperature at which the r.m.s. velocity of oxygen molecules equals to that of nitrogen molecules at `0^(@)C` will be `(M_(N)=28,M_(0)=32)`

A

`312^(@)C`

B

`292.5^(@)C`

C

`19.5^(@)C`

D

`39^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D
`(C_(O))/(C_(N))=sqrt((M_(N))/(M_(O))xx(T_(O))/(T_(N)))`
`(C)/(C)=sqrt((287)/(32)xx(T_(O))/(273))`
`(8)/(7)=(T_(0))/(273)`
`T_(0)=(8xx273)/(7)=312`
`t=312-273=39^(@)C`
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