If rate of diffusion of $$A$$ is 5 times that of $$B$$, what will be the density ratio of $$A$$ and $$B$$?
The rate of diffusion of a gas is inversely proportional to the square root of its density.
$$\dfrac {r_A}{r_B}=\sqrt {\dfrac {d_B}{d_A}}$$
The rate of diffusion of A is 5 times that of B.
$$\left (\dfrac {5r}{r}\right )^2=\dfrac {d_B}{d_A}$$
The density ratio of $$A$$ and $$B$$
$$\dfrac {d_A}{d_B}=\dfrac {1}{25}$$
According to Graham's law, at a given temperature the ratio of the rates of diffusion $$\dfrac {r_A}{r_B}$$ of gases $$A$$ and $$B$$ is given by: (where $$p$$ and $$M$$ are pressures and molecular weights of gases $$A$$ and $$B$$ respectively)
Define Graham’s law of diffusion. Give its mathematical formulation.
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According to Graham's law, at a given temperature the ratio of the rates of diffusion $$\dfrac {r_A}{r_B}$$ of gases $$A$$ and $$B$$ is given by: (where $$p$$ and $$M$$ are pressures and molecular weights of gases $$A$$ and $$B$$ respectively)
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Rate of diffusion of a gas is