At what temperature is rms velocity of hydrogen molecule equal to that of oxygen molecule at 47 degrees Celsius?

Get the answer to your homework problem.

Try Numerade free for 30 days

We don’t have your requested question, but here is a suggested video that might help.

At what temperature is the $\mathrm{rms}$ velocity of hydrogen molecule equal to that of an oxygen molecule at $27^{\circ} \mathrm{C} ?$ (a) $10 \mathrm{~K}$ (b) $20 \mathrm{~K}$ (c) $18.75 \mathrm{~K}$ (d) $19.75 \mathrm{~K}$

Tardigrade - CET NEET JEE Exam App

© 2022 Tardigrade®. All rights reserved

>

At what temperature is the rms velocity of a hydrogen molecule equal to that of an oxygen molecule at 47∘ CA. 80 KB. 73 KC. 3 KD. 20 K

Text Solution

80 K`-73 K`3 K20 K

Answer : D

Solution : `upsilon_(rms) = sqrt((3RT_(H))/(M_H)) = sqrt((3RT_("OXY"))/(M_("OXY"))` <br> `(T_H)/(M_H) = (T_("OXY"))/(M_("OXY"))` <br> or, `T_(H) = T_("OXY") (M_H)/(M_("OXY")) = (47+273) 2/32 = 320/16` <br> `= 20K`.