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At what temperature root mean sqaure of ...

At what temperature root mean sqaure of `N_(2)` gas is equal to that of propance gas at `STP` conditions.

A

`173.7^(@)C`

B

`173.7K`

C

`STP`

D

`-40^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B
Let temperature `(T)` where `V_(rms)` of `N_(2)=V_(rms)` of `C_(3)H_(8)` at STP
`=sqrt((3RT_(1))/(M_(N_(2))))=sqrt((3RT_(2))/(M_(C_(3H_(8)))))=sqrt((3xx8.314xx273)/(44xx10^(-3)))`
`=sqrt((3RT_(1))/(M_(N_(2))))= 393.38`
`T_(1)= 173.72K`
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