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The velocity of sound is measured in hydrogen and oxygen at a certain temperature. The ratio of the velocities is, (a) 1:1 (b) 1:2 (c) 1:4 (d) 4:1

The velocity of sound is measured in hydrogen and oxygen at a certain temperature. The ratio of the velocities is,
(a) 1:1
(b) 1:2
(c) 1:4
(d) 4:1

Grade:Upto college level

1 Answers

Vikas TU
14149 Points
one year ago
Let the volume of oxygen be V
then the volume of Hydrogen be 4V
so, total volume of mixture of Hydrogen and oxygen = 4V + V = 5V
now, mass of mixture = mass of Hydrogen + mass of oxygen
volume of mixture × density of mixture = volume of Hydrogen × density of Hydrogen + volume of oxygen × density of oxygen
5V × D = 4V × d + V × 16d [ actually, density is directly proportional to molar mass of element , so, density of Hydrogen = 16 × density of oxygen ]
Where D is density of mixture , d is the density of Hydrogen.
so, D = 4d
means , density of mixture is 4 times of density of Hydrogen .
now, speed of sound in the mixture,
γ is same for mixture because both the gas in the mixture { Hydrogen and oxygen } are diamagnetic .
so, speed of sound in the Hydrogen ,
 

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