The Speed Of Sound Waves In A Mixture Of Helium And Neon At 300 K And At A Pressure Of 76 Cm Of Hg Was Found To Be 758 M/sec. The Densities Of Helium And Neon Are Respectively 0.1785 And 0.8999 G/litre And γ of Mixture Is 1.667. What Is The Ratio Of He And Ne In The Mixture?

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Question

The speed of sound waves in a mixture of helium and neon at 300 K and at a pressure of 76 cm of Hg was found to be 758 m/sec. The densities of helium and neon are respectively 0.1785 and 0.8999 g/litre and γ of mixture is 1.667. What is the ratio of He and Ne in the mixture?

Solution

Correct option is

5:1

 

  

  

                         

Given, density of He = 0.1785 g/litre, density of Ne = 0.8999 g/litre. 

Let the ratio be x:1.

             

Solving for x, we get the ratio 5:1.

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