What is the Ratio of Two Specific Heats,Cp/Cv ? - Physics

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MCQ

For polyatomic molecules having 'f' vibrational modes, the ratio of two specific heats,Cp/Cv  is..........

Options

  • `(1+f)/(2+f)`

  •  `(2+f)/(3+f)`

  •  `(4+f)/(3+f)`

  • `(5+f)/(4+f)`

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Solution

`(4+f)/(3+f)`

By the law of equipartition of energy, for one mole of polyatomic gas

`C_p=(4+f)R and C_v=(3+f)R`

`thereforeC_p/C_V=((4+f)R)/((3+f)R)=(4+f)/(3+f)`

Concept: Law of Equipartition of Energy
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2015-2016 (March)

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