For polyatomic gases, the ratio of molar specific heat at constant pressure to constant volume is…

For polyatomic gases, the ratio of molar specific heat at constant pressure to constant volume is $(\mathrm{f}=$ degrees of freedom $)$
  1. $\frac{2+\mathrm{f}}{3+\mathrm{f}}$
  2. $\frac{3+\mathrm{f}}{2+\mathrm{f}}$
  3. $\frac{3+\mathrm{f}}{4+\mathrm{f}}$
  4. $\frac{4+f}{3+f}$

Solution

For polyatomic gases, molar-specific heat at constant volume is $\mathrm{C}_{\mathrm{V}}=(3+\mathrm{f}) \mathrm{R}$ and Molar-specific heat at constant pressure is $\mathrm{C}_{\mathrm{P}}=(4+\mathrm{f}) \mathrm{R}$ $\therefore \quad \frac{\mathrm{C}_{\mathrm{P}}}{\mathrm{C}_{\mathrm{V}}}=\frac{4+\mathrm{f}}{3+\mathrm{f}}$ ^

Asked in: MHT CET 2023 (12 May Shift 2)

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