Question

the rate of diffusion of a gas is R and its density is D then under similar condition of pressure and temperature​

Answer 1

according to Graham's law of diffusion, under the similar condition of temperature and pressure, rate of diffusion or effusion of a gas is inversely proportional to square root of its density.

if R is rate of diffusion and D is density of gas.

then under similar conditions of temperature and pressure,

$\boxed{R\propto\frac{1}{\sqrt{D}}}$

or, $\boxed{\bf{\frac{R_1}{R_2}=\sqrt{\frac{D_2}{D_1}}}}$

for ideal gas,

density of gas is $D=\frac{PM}{RT}$ , i.e., density of gas is directly proportional to molar mass of gas.

so, rate of diffusion of a gas is also inversely proportional to square root of its molar mass.

Answer 2

the correct answer is option C