First slide

Gaseous state

Question

Consider the following pairs of gases A and B.
A B
I. ${CO}_{2}$ $N_{2} O$
II. CO $N_{2}$
III. O₂ O₃
IV. H₂O D₂O
V. $^{235} {UF}_{6}$ $^{238} {UF}_{6}$
Relative rates of effusion of gases A and B is in the order

Difficult

A

$I = II < V < IV < III$
B

I = II < III < IV < V
C

I = II < IV < III < V
D

I < II < III < IV < V

Solution

$\frac{r_{A}}{r_{B}} = \sqrt{\frac{M_{B}}{M_{A}}} I. = \sqrt{\frac{44}{44}} = 1 II. = \sqrt{\frac{28}{28}} = 1 III. = \sqrt{\frac{48}{32}} = 1 .225 IV . = \sqrt{\frac{20}{18}} = 1 .054 V . = \sqrt{\frac{352}{349}} = 1 .004 ∴ I = II < V < IV < III$

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