Question

If rate of diffusion of A is 5 times that of B, what

will be the density ratio of A and B :

(1) 1/25 (2) 1/5

(3) 25 (4) 5​

Answer 1

Correct Answer :

• Option (A) $\frac{1}{25}$

${\pmb{\underline{\sf{Required \: Solution....}}}}$

According to Graham's law of diffusion .

We know ;

$\boxed {r∝ \frac{1}{ \sqrt{d} } }$

$: \implies \boxed{\frac{r _{1} }{r _{2} } = \sqrt{ \frac{d _{2} }{d _{1} } } }$

According to this Above Equation

$\boxed{\frac{r _{A} }{r_{B}} = \sqrt{ \frac{d_{B}}{d_{A}} } } - - - (1)$

According to Question ;

$r_{A} =5 rB \: ....(given)$

Putting the Value of $r_{A}$ in Equation (1)

$\frac{5r _{B} }{r_{B}} = \sqrt{ \frac{d_{B}}{d_{A}} }$

$\sf\colorbox{green}{Squaring \: on \: both \: sides \: }$

$: \implies25 = \frac{d_{B}}{d_{A}} \\ \: \implies \boxed{\frac{d_{A}}{d_{B}} = \frac{1}{25} } \: is \: the \: ans..$

The ratio of density of A and B is $\frac{1}{25}$

$\sf\pink{hope \: this \: helps \: you!! \: }$

@Mahor2111

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