If all degree of freedom of a three dimensional N-atomic gaseous molecule is excited, then ratio of — Thermodynamics and Thermochemistry Chemistry Question
Question
If all degree of freedom of a three dimensional N-atomic gaseous molecule is excited, then $C_P / C_V$ ratio of gas should be
Answer: B
💡 Solution & Explanation
For a 3D non-linear N-atomic molecule, total degrees of freedom = $3N$. In classical equipartition, heat capacity $C_V$ evaluates structurally to $(3N-3)R$. Since $C_P = C_V + R$, the ratio $C_P / C_V = 1 + \frac{R}{C_V} = 1 + \frac{1}{3N-3}$.
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