1.

The root mean square speeds at STP for the gasesH_(2),N_(2), O_(2) and HBr are in the order :

Answer»

`H_(2)ltN_(2)ltO_(2)ltHBr`
`HBrltO_(2)ltN_(2)ltH_(2)`
`H_(2)ltN_(2)=O_(2)ltHBr`
`HBrltO_(2)ltH_(2)ltN_(2)`

Solution :`PV=1/3mNu^(2)=1/3mu^(2)`
or `u=sqrt(3PV//M)`
at STP u `alphasqrt(1/M)`
i.e., HIGHER will be the molar MASS lower will be the value of `u_(RMS)`.
Molecular masses of `H_(2), N_(2), O_(2)` and HBR are 2,28,32 and 81. Hence the correct order is `HBr lt O_(2) lt N_(2) lt H_(2)`.


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