Question

The ratio of rms speed of an ideal gas molecules at pressure p to that at pressure 2p is
A. `1:2`
B. `2:1`
C. `1: sqrt2`
D. `sqrt2 :1`

Answer 1

Correct Answer - C
According to the question In the first condition,
`p=1/3pC_(rms)^(2)`
In the second condition,
`2p=1/3pC_(rms)^(2)`
Dividing Eq. (i) by Eq. (ii), we get
`(C_(rms)^(2))/(C_(rms)^(2))=1/2rArr(C_(rms))/(C_(rms))=1/sqrt2`