A gaseous mixture contains equal number of hydrogen and nitrogen molecules. Specific heat measurements on this mixture at temperatures below 100 K would indicate that the value of γ (ratio of specific heats) for this mixture is

1.  3/2                           

2.  4/3

3.  5/3                           

4.  7/5

3. Below 100 K only translational degree of freedom is considered. Hence 

       γmixture=μ1γ1γ1-1+μ2γ2γ2-1μ1γ1-1+μ2γ2-1  according to question, 

       μ1=μ2  and  γ1=γ2   =1+23=53

        γmix=γ1=53

 

Difficulty Level:

  • 22%
  • 22%
  • 53%
  • 5%