The Speed Of Sound In Oxygen Is 635 M/s. Find Out The Speed Of Sound In A Mixture Of Hydrogen And Oxygen In Which The Ratio Of Hydrogen And Oxygen Volumes Is 4:1.

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Question

The speed of sound in oxygen is 635 m/s. Find out the speed of sound in a mixture of hydrogen and oxygen in which the ratio of hydrogen and oxygen volumes is 4:1.

Solution

Correct option is

1270 m/s

 

Suppose, in the mixture of hydrogen and oxygen the volumes of hydrogen and oxygen are V1 and V2 respectively. If their densities are d1 and d2respectively, then the masses of hydrogen and oxygen in the mixture will be V1d1 and V2d2 respectively. If the density of the mixture is d, then  

          

  

Let v be the speed of sound in the mixture, and v2 in oxygen. Then by Laplace’s formula, we have

          

      

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