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100 mL of O(2) gas diffuse in 10 s . 100...

100 mL of `O_(2)` gas diffuse in 10 s . 100 mL of gas . X diffuses in t sec, Gas X and ktime t can be

A

`H_(2), 2.5 sec`

B

`SO_(2), 16 sec`

C

`CO, 10 sec`

D

`He, 4 sec`

Text Solution

Verified by Experts

The correct Answer is:
A
Here `V_(1) = V_(2)`
`(t_(2))/(t_(1)) = sqrt((M_(2))/(M_(1))) " or " (t_(2)^(2))/(t_(1)^(2)) = (M_(2))/(M_(1))`
`t_(1) = 10s, M_(1) = 32`
`(t_(2)^(2))/(M_(2)) = (t_(1)^(2))/(M_(1))`
`(t_(1)^(2))/(M_(2)) = ((10)^(2))/(32) = (100)/(32) = (25)/(8)`
(A) `(t_(2)^(2))/(M_(2)) = ((2.5)^(2))/(2) = ((5//2)^(2))/(2) = (25)/(8)`
Thus choice (A) is correct
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