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A gas Y of mol. mass M_xand SO₂ gas were allowed to enter into a flask through similar pin holes in the same time till the pressure in the flask rises to 5 atm. If the partial pressure of SO₂ in the flask was found to be 1 atm then 'M_x' is equal to:

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answer is D.

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Detailed Solution

$p_{S O_{2}} = 1 a t m ∴ p_{x} = 4 a t m \Rightarrow n_{S O_{2}} : n_{x} = 1 : 4$

$∴ \frac{n_{S O_{2}}}{n_{x}} = \frac{1}{4} = \sqrt{\frac{M_{x}}{M_{S O_{2}}}} = \sqrt{\frac{M_{x}}{64}}$

$∴ M_{x} = 4$

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