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The ratio between the root mean square s...

The ratio between the root mean square speed of `H_(2)` at `50 K` and that of `O_(2)` at `800 K` is

A

`2`

B

`4`

C

`1`

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
C
According to the kinetic molecular theory of gases , we have
`u_(rms) = sqrt((3 RT)/(M))`
`:. (u_(rms))_(H_(2))/((u_(rms))_(O_(2))) = sqrt((T_(H_(2)))/(M_(H_(2))) xx (M_(O_(2)))/(T_(O_(2))))`
`= sqrt((50 K)/(2 g mol^(-1)) xx (32 g mol^(-1))/(800 K))`
` = sqrt((1600)/(1600))`
`= 1`
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