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Questions  

If  γ  is the ratio of two specific heats of a gas, the number of degrees of freedom of a molecule of the gas is:

a
252(γ-1)
b
3γ−12γ−1
c
2γ−1
d
92(γ-1)

detailed solution

Correct option is C

molar specific heat of a gas at constant volume is Cv=f.R2  here f is degree of freedom ,   R is universal gas constant  from difference of specific heatsCp=Cv+R  substitute the value of Cv =fR2+R=fR12+1f  Cp=fR(f+22f)specific heat ratio γ=CpCv , substitute the values of specific heats  =fRf+22ffR2 ⇒γ=f+2f ⇒γ=1+2f ⇒2f=γ-1 ⇒degree of freedom is f=2γ−1

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Similar Questions

Statement 1: It is necessary to define two molar heat capacities for a gas

Statement 2: Work is done by a gas when it volume changes.

 

 


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