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The rate of diffusion of a gas is propor...

The rate of diffusion of a gas is proportional to:

A

`P//sqrtd`

B

`sqrt(P//d)`

C

`P//d`

D

`sqrtP//d`

Text Solution

Verified by Experts

The correct Answer is:
B
Rate of diffusion is inversely proportional to the molecular mass of the gas
`r prop (1)/(sqrtM)`.....(i)
Now `PV = nRT`
`PV = (w)/(M) RT`
where `w` is the mass of the gas and M is its mol mass
`P = (w)/(V) (RT)/(M)`
`P = d (RT)/(M)`
`M = (d)/(P) RT`
at constant temperature `M prop (d)/(P)`...(ii)
From (i) and (ii)
`r prop sqrt((P)/(d))`
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