If average velocity of a sample of gas m...

If average velocity of a sample of gas molecules at 300 K is `5 cm s^(-1)` , what is RMS velocity of same sample of gas molecules at the same temperature ? (Given , `alpha : u : v = 1 : 1 .224 : 1.127)`

6.112 cm/s

4.605 cm/s

4.085 cm/s

5.430 cm/s

Text Solution

Verified by Experts

The correct Answer is:

Given that `alpha` (most probable velocity) u(RMS velocity) v ( average velocity) = `1 : 1.224 : 1 : 1.127`
`therefore (u)/(v) = (1.124)/(1.127)`
or `(u)/(5) = (1.224)/(1.127)`
or `u = (1.124 xx 5)/(1.127) = 5.430` cm/s

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If average velocity of a sample of gas molecules at 300 K is 5 cm /s what is RMS velocity of same sample of gas molecules at the same temperature ? (Given alpha : u: v = 1: 1.224: 1.127)

6.112 cm / s

4.605 cm /s

4.085 cm /s

5.430 cm/s

The root mean square velocity of hydrogen molecules at 300 K is 1930 ms^(-1) . The rms velocity of oxygen molecules at 1200 K will be

`965 ms^(-1)`

`765 ms^(-1)`

`1065 ms^(-1)`

`865 ms^(-1)`

The most probable velocity of a gas molecule at 298 K is 300 m/s. Its rms velocity, in m/s) is

420

245

402

367