Question

The ratio of speed of sound in Hydrogen to that in oxygen at the same temperature is

1:4
4:1
1:1
16:1

Answer 1

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 ,

Answer 2

Answer:

At the same temperature, the ratio of sound speed in hydrogen to that in oxygen is 4:1

Explanation:

Formula used

Velocity of sound in gas ν=√(RT/M)

Here R, T are constant

Therefore ν∝1/√m

                 νH/νo=√(Mo /MH)

                           =√(32/2)

                           =√16=4

νH:νο=4:1

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