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Which of the following comparisons of th...

Which of the following comparisons of the average kinetic energy and the average molecular speeds of `H_(2)` and `N_(2)` gases at 300K is correct ?

A

`{:("Average K.E.","Average molecular speed"),(H_(2) = N_(2),H_(2)=N_(2)):}`

B

`{:("Average K.E.","Average molecular speed"),(H_(2) lt N_(2),H_(2)gtN_(2)):}`

C

`{:("Average K.E.","Average molecular speed"),(H_(2) = N_(2),H_(2)ltN_(2)):}`

D

`{:("Average K.E.","Average molecular speed"),(H_(2) = N_(2),H_(2)gtN_(2)):}`

Text Solution

Verified by Experts

The correct Answer is:
D
Average K.E. `= ( 3)/(2) RT`
`:.` Average K.E. `H_(2) =N_(2)`
Average molecular speed, `mu_(av) = sqrt(( 8 RT)/( pi M ))` or `mu_(av)prop sqrt((1)/( M ))`
`:.` Average molecular speed of `H_(2) gt N_(2)`
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