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A container has one mole of the monoatomic ideal gas. Each molecule has f degrees of freedom. What is the ratio of γ = CpCvCpCv?

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प्रश्न

A container has one mole of the monoatomic ideal gas. Each molecule has f degrees of freedom. What is the ratio of γ = `"C"_"p"/"C"_"v"`?

विकल्प

  • f

  • `"f"/2`

  • `"f"/("f" + 2)`

  • `("f" + 2)/"f"`

MCQ
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उत्तर

`("f" + 2)/"f"`

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अध्याय 9: Kinetic Theory of Gases - Evaluation [पृष्ठ १८३]

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सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 9 Kinetic Theory of Gases
Evaluation | Q I. 8. | पृष्ठ १८३

संबंधित प्रश्न

A sample of gas consists of μ1 moles of monoatomic molecules, μ2 moles of diatomic molecules and μ3 moles of linear triatomic molecules. The gas is kept at a high temperature. What is the total number of degrees of freedom?


Define the term degrees of freedom.


Describe the total degrees of freedom for monoatomic molecule, diatomic molecule and triatomic molecule.


A gas made of a mixture of 2 moles of oxygen and 4 moles of argon at temperature T. Calculate the energy of the gas in terms of RT. Neglect the vibrational modes.


A monoatomic gas molecule has ______. 


Which of the following statement given below are correct for monoatomic gas?

I. Cv = `3/2 "R"`

II. Cp = `5/2 "R"`

III. Cp − Cv = 2R

IV. `"C"_"p"/"C"_"v" = 5/3`


A ballon has 5.0 g mole of helium at 7°C. Calculate

  1. the number of atoms of helium in the balloon
  2. the total internal energy of the system.

Calculate the number of degrees of freedom of molecules of hydrogen in 1 cc of hydrogen gas at NTP.


The average energy for molecules in one degree of freedom is ______.


Which statements are correct about degrees of freedom?

  1. A molecule with n degrees of freedom has n2 different ways of storing energy.
  2. Each degree of freedom is associated with `1/2`RT average energy per mole.
  3. A monoatomic gas molecule has 1 rotational degree of freedom whereas the diatomic molecule has 2 rotational degrees of freedom.
  4. CH4 has a total of 6 degrees of freedom.

Choose the correct answer from the option given below:


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