Home
Class 11
CHEMISTRY
At what temperature will the rms velocit...

At what temperature will the `rms` velocity of `SO_(2)` be the same as that of `O_(2) at 303 K`?

A

`606 K`

B

`403 K`

C

`273 K`

D

`303 K`

Text Solution

Verified by Experts

The correct Answer is:
A
According to the kinetic molecular theory of gases , we have
`u_(rms) = sqrt(3RT)/(M)`
We are given
`(u_(rms))_(SO_(2) = (u_(rms))_(O_(2))`
`sqrt((T_(SO_(2)))/(M_(SO_(2)))) = sqrt((T_(O_(2)))/(M_(O_(2))))`
Squaring both sides , we get
`(T_(SO_(2)))/(M_(SO_(2))) = (T_(O_(2)))/(M_(O_(2)))`
`T_(SO_(2)) = (T_(O_(2)M_(SO_(2))))/(M_(O_(2)))`
`= ((303 K)(64 g mol^(-1)))/((32 g mol^(-1)))`
`= 606 K`
Promotional Banner

Topper's Solved these Questions

  • STATES OF MATTER

    R SHARMA|Exercise Question Bank Level - III|4 Videos

  • STATES OF MATTER

    R SHARMA|Exercise Question Bank Level - IV|6 Videos

  • STATES OF MATTER

    R SHARMA|Exercise Question Bank Level - I|5 Videos

  • SOME BASIC CONCEPTS OF CHEMISTRY

    R SHARMA|Exercise Archives|26 Videos

  • STRUCTURE OF ATOM

    R SHARMA|Exercise ARCHIVES|55 Videos

Similar Questions

Explore conceptually related problems

At what temperature will the r.m.s. velocity of SO_(2) be the same as the O_(2) at 303 K ?

At what temperature will the rms velocity of CO_(2) be same as the average velocity of SO_(2) at 500K?

At what temperature will the rms velocity of O_(2) molecules be qual to that of H2 at 200 K.

At what temperature, the root-mean-square velocity of SO_(2) will be the same as that of CH_(4) at 27^(@)C ?

Calculate the temperature at which the rms velocity of SO_(2) is the same as that of oxygen at 27^(@)C .

At what temperature will the R.M.S. velocity for H_2 molecule-be same as that for O_2 molecule at 127° C?

The temperature at which the root mean square velocity of SO_(2) molecules is same as that of O_(2) molecules at 27^(@)C

Calculate the temperature at which root mean square velocity of SO_(2) molecules is the same as that of O_(2) molecules at 127^(@)C . Molecular weights. Of O_(2) and SO_(2) are 32 and 64 respectively.