For the diffusion of a gas at pressure $P$ , the rate of diffusion is expressed by :

r \propto \frac{1}{\sqrt{M}}

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r = \frac{P^{2}}{M}

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r \propto \frac{M}{\sqrt{P}}

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r = \frac{P}{M}

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Solution

The correct option is B $r \propto \frac{1}{\sqrt{M}}$
According to Graham's Jaw of diffusion or effusion "under similar conditions of temperature and pressure, rate of diffusion is inversely proportional to square root of molecular weight"

$r \propto \frac{1}{\sqrt{M}}$ .

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Similar questions

Q. When

r, p

and

M

represent rate of diffusion, pressure and molecular mass, respectively, then the ratio of the rates of diffusion (

r_{A} / r_{B}

) of two gases A and B is given as:

From a certain apparatus, the diffusion rate of hydrogen has an average value of 28.7 cm³ s^–1. The diffusion of another gas under the same conditions is measured to have an average rate of 7.2 cm³ s^–1. Identify the gas.

[Hint: Use Graham’s law of diffusion: R₁/R₂ = (M₂/M₁)^1/2, where R₁, R₂ are diffusion rates of gases 1 and 2, and M₁ and M₂ their respective molecular masses. The law is a simple consequence of kinetic theory.]

Q. According to Graham’s law of diffusion, at a given temp the ratio of rates of diffusion

r_{A} / r_{B}

of gases A and B is given by

Q. For a reaction

p A + q B \to product

, the rate law expression is

r = k [A]^{l} [B]^{m}

, then:

Select the correct formula :

(where k=Boltzmann's constant, R= gas constant, n= moles, r = density, M= molecular weight, p= pressure, T= kelvin temperature, V= volume)

a) k=RN $_{a v}$

b) $r = \frac{n M}{V}$

c) $\frac{p}{r} = \frac{R T}{M}$

d) R=kN $_{a v}$

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For the diffusion of a gas at pressure P, the rate of diffusion is expressed by :

The correct option is B r∝1√MAccording to Graham's Jaw of diffusion or effusion "under similar conditions of temperature and pressure, rate of diffusion is inversely proportional to square root of molecular weight" r∝1√M.

For the diffusion of a gas at pressure $P$ , the rate of diffusion is expressed by :

The correct option is B $r \propto \frac{1}{\sqrt{M}}$
According to Graham's Jaw of diffusion or effusion "under similar conditions of temperature and pressure, rate of diffusion is inversely proportional to square root of molecular weight"

$r \propto \frac{1}{\sqrt{M}}$ .