Home
Class 11
PHYSICS
At what temperature will the rms speed o...

At what temperature will the rms speed of a hydrogen molecules be equal to that of an oxygen molecule at `47^@C`?

Text Solution

Verified by Experts

Molecular weights of oxygen and hydrogen respectively are `M_1=32` and `M_2=2`.
rms speed , `c prop sqrt((3RT)/M)`
`thereforec_1/c_2=sqrt(T_1/T_2.M_2/M_1)`
Here `c_1=c_2` and `T_1=47^@C=320 K`
`thereforeT_1/T_2.M_2/M_1=1`
or,`T_2=T_1.M_2/M_1=320times2/32`
`=20K=(20-273)^@C=-253^@C`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise HIGHER ORDER THINKING SKILLS (HOTS) QUESTIONS|33 Videos

  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise EXERCISE (Multiple Choice Questions)|24 Videos

  • HYDROSTATICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|1 Videos

  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos

Similar Questions

Explore conceptually related problems

At what temperature is the rms speed of hydrogen molecules the same as that of oxygen molecules at 1327^@C ?

At what temperature will the rms speed of air molecules be double that at NTP?

Find the temperature at which the value of rms speed of hydrogen molecules will be equal to that of carbon dioxide molecules at 27^@C . Carbon dioxide molecules are 22 times heavier than hydrogen molecules.

At what temperature will the average velocity of O_(2) molecules be equal to that of H_(2) molecules at 20K?

At what temperature will the rms velocity of SO_(2) molecules be equal to the rms velocity of O_(2) molecules at 25^(@)C ?

At what temperature will the rms speed of molecules of nitrogen gas be twice of that at 0^@C ?

At what temperature is the r.m.s. speed of molecules of hydrogen twice that at S.T.P.?

The rms speed of oxygen molecules at 47^@C will be equal to the rms speed of hydrogen molecules at

At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmsphere? [ Given, mass of oxygen molecule (m) = 2.76xx10^(-26) kg, Boltzmann's constant k_(B) = 1.38 xx 10^(-23) Jcdot K^(-1) ]

Calculate the rms speed of oxygen gas molecule at 300 K.