A balloon filled with $N_{2} O$ is picked with a sharper point and plunged into a tank of $C O_{2}$ under the same pressure and temperature. Balloon will:

be enlarged

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shrink

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collapse completely

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remain unchanged in size

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Solution

The correct option is D remain unchanged in size
According to graham's law of diffusion,

Rate of diffusion $\propto \frac{1}{\sqrt{m o l e c u l a r m a s s}}$

Molar mass of $C O_{2} = 44 g$

Molar mass of $N_{2} O = 28 + 16 = 44 g$

Since, both $C O_{2}$ and $N_{2} O$ have same molar mass. Thus, they have the same rate of diffusion at constant temperature and pressure.

$⟹$ Balloon remains unchanged in size.
Hence, the correct option is $(D))$ .

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