Question

what is the ratio of rms speed of oxygen and hydrogen molecule at the same temparature ??????????

Answer 1

The ratio of rms speed of oxygen and hydrogen molecule at the same temparature will be 1 : 4

Explanation :

We know that the RMS speed of a gas molecule is given by,

Vrms = √(3RT/M)

where R = gas constant

T = temperature = same for both the gas here

M = molecular mass

Hence the ratio of their RMS speed can be given as,

Vrmso/Vrmsh = √(Mh/Mo)

= √2/32

=√1/16

= 1/4

Hence the ratio of rms speed of oxygen and hydrogen molecule at the same temparature will be 1 : 4

Answer 2

we know that the RMS speed of gas molecules is given by,

Vrms = √(3RT/M)

where R =gas contast

T = temperature= same for both the gas here

M = molecules mass

hence the ratio of the RMS speed can be given as,

Vrmso/ Vrmsh = √( Mh/Mo)

=√2/32

=√1/16

=√1/4

hence the ratio of RMS speed of oxygen is 1:4