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Q.

At 300K and 760 torr pressure, the density of a mixture of He and O2 gases is 0.543gL1. The mass percent of oxygen approximately is
(R=0.0821LatmK1mol1)

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a

67

b

33

c

20

d

80

answer is B.

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Detailed Solution

Let 1 mol of gas is present. So, 22.4 L will be the volume of the mixture

Density=Massvolume 0.543=Mass22.4=12.16 g

Molar mass of mixture is 12.16 g.

% of oxygen present in mixture = x

% of He present in mixture = 1-x

Molar Mass of oxygen and He are 32 and 4 g/mol respectively

12.16=32×x+(1-x)4 12.16=32x+4-4x 8.16=x32-4 8.16=28x x=0.29

From partial pressure of O2, the mass of oxygen is determined and the percentage of oxygen becomes 80%.

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At 300K and 760 torr pressure, the density of a mixture of He and O2 gases is 0.543gL−1. The mass percent of oxygen approximately is(R=0.0821LatmK−1mol−1)