Question

The rate of diffusion of A is 5 times that of B what will be the density ratio of A and B​

Answer 1

$\huge\underline\blue{\rm Solution:}$

$\large\underline\purple{\rm Given: }$

★ Rate of diffusion of A is 5 times of B

$\large\underline\purple{\rm To\:Find: }$

★ Density ratio of A and B = ?

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The rate of diffusion of gas is inversely proportional to the square root of its density .

Formula :

$\Large{\boxed{\rm {\frac{r_A}{r_B}}=\sqrt{{\frac{d_B}{d_A}}}}}$

The rate of diffusion of A is 5 times that of B

$\large{\rm {\frac{5r}{r}}^2 ={\frac{d_B}{d_A}}}$

The density ratio A and B :

$\large{\rm {\frac{d_A}{d_B}}={\frac{1}{25}}}$

$\large\red{\boxed{\rm Ratio\:of\:density\:A:B=1:25 }}$

Hence ,

Ratio of A and B is 1:25