The rate of diffusion of a gas is proportional to

Options

A. `P//sqrtd`
B. `sqrt(P//d)`
C. `P//d`
D. `sqrtP//d`

Answer

B

Explanation

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))`