The relation between the gamma of mono atomic and polyatomic gases is
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which implies that γ>1 for all polyatomic gases. Now, what we seek is a way to determine the value of N for a polyatomic gas.
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Gamma = cp / cv
As we all know that
cp - cv = R.
where,
cp is the specific heat coefficient at constant pressure,
cv is the the specific heat coefficient at constant volume,
The value of Gamma for monoatomic is
Cv=3/2R for monoatomic
Cp=5/2 for monoatomic
γ=5 /3 for monoatomic
γ=5 /3 for monoatomicγ= 1.66
where as,
The value of Gamma for polyatomic is
Cv=7/2R for polyatomic
Cp=9/2 for polyatomic
γ=9/7 for polyatomic
γ=9/7 for polyatomicγ= 1.33
So, For Monoatomic γ= 1.66
So, For Monoatomic γ= 1.66 For polyatomic γ= 1.33
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