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Question

Question: The rate of diffusion of a gas having molecular weight just double of nitrogen gas is 56 ml \(s ^ { ...

The rate of diffusion of a gas having molecular weight just double of nitrogen gas is 56 ml s1s ^ { - 1 } . The rate of diffusion of nitrogen will be

A

79.19 ml s1s ^ { - 1 }

B

112.0 ml s1s ^ { - 1 }

C

56 ml s1s ^ { - 1 }

D

90.0 ml s1s ^ { - 1 }

Answer

79.19 ml s1s ^ { - 1 }

Explanation

Solution

rXrN2=MN2MX=2856=12\frac { r _ { X } } { r _ { N _ { 2 } } } = \sqrt { \frac { M _ { N _ { 2 } } } { M _ { X } } } = \sqrt { \frac { 28 } { 56 } } = \sqrt { \frac { 1 } { 2 } };

rN2=562=79.19 ms1r _ { N _ { 2 } } = 56 \sqrt { 2 } = 79.19 \mathrm {~ms} ^ { - 1 }