A polyatomic ideal gas has 24 vibrational modes. What is the value of γ ?
A polyatomic ideal gas has 24 vibrational modes. What is the value of γ ?
Option 1 -
1.30
Option 2 -
1.03
Option 3 -
10.3
Option 4 -
1.37
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1 Answer
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Correct Option - 2
Detailed Solution:f = f_Translational + f_Rotational + f_Vibrational
f = 3 + 3 + 48 = 54 (Since each vibrational mode has two degrees of freedom)
γ = 1 + 2/f = 1 + 2/54 = 1 + 1/27 = 28/27 ≈ 1.03
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