Question

The ratio between the root mean square velocity of H₂ at 50 K and that of O₂ at 800 K is ______.

पर्याय

• 4

• 2

• 1

• 0.25

Answer 1

The ratio between the velocity of H₂ at 50 K and that of O₂ at 800 K is 1.

Explanation:

T1 = 50 K for H2

T2 = 800 K for O2

`"u"_"ms" = sqrt("3RT"/"M")`

`=> "u"_("H"_2)/"u"_("O"_2) = sqrt("T"_1/"M"_1 xx "M"_2/"T"_2)`

`=> "u"_("H"_2)/"u"_("O"_2) = sqrt(50/2 xx 32/800)`

`=> "u"_("H"_2)/"u"_("O"_2)` = 1