If the rate of diffusion of A is 5 times that of B, what will be the density ratio of A and B?

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Question: Answered & Verified by Expert

If the rate of diffusion of A is 5 times that of B, what will be the density ratio of A and B?

ChemistryStates of MatterNEET

Options:

A $1 : 25$
B $1 : 5$
C $25 : 1$
D $5 : 1$

Solution:

1652 Upvotes Verified Answer

The correct answer is:

1 : 25

\frac{r_{A}}{r_{B}} = \sqrt{\frac{d_{B}}{d_{A}}}

It is given that

r_{A} = 5 r_{B}

∴

\frac{5 r_{B}}{r_{B}} = \sqrt{\frac{d_{B}}{d_{A}}}

d_{A} = \frac{1}{25} d_{B}

i.e.,

\frac{d_{A}}{d_{B}} = \frac{1}{25}

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