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Question

The velocity of sound through hydrogen is 1400 m s1 at certain temperature. What will be the velocity of sound through a mixture of 2 parts of volume of hydrogen and 1 part of nitrogen at same temperature?

A
150 3 m s1
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B
250 3 m s1
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C
350 3 m s1
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D
450 3 m s1
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Solution

The correct option is C 350 3 m s1
Given
the density of hydrogen = 1
density of nitrogen = 14
Let the volume of the mixture be x
Volume of hydrogen in the mixture
=2x3
Volume of hydrogen in the mixture
=2x3×1=2x3
Mass of oxygen in the mixture =x3×14
Total mass of the mixture =16x3
Density of mixture =totalmasstotalvalume
=16x3(x)=163
Vα1d
V1V2=d2d1
1400V2=163×1
V2=140034=3503ms1

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