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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.

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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?

विकल्प

  • [3μ1 + 7(μ2 + μ3)] NA

  • [3μ1 + 7μ2 + 6μ3] NA

  • [7μ1 + 3(μ2 + μ3)] NA

  • [3μ1 + 6(μ2 + μ3)] NA

MCQ
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उत्तर

[3μ1 + 7(μ2 + μ3)] NA

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अध्याय 9: Kinetic Theory of Gases - Evaluation [पृष्ठ १८४]

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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. 11. | पृष्ठ १८४

संबंधित 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"`?


Derive the ratio of two specific heat capacities of monoatomic, diatomic and triatomic molecules.


During an adiabatic process, the pressure of a mixture of monatomic and diatomic gases is found to be proportional to the cube of the temperature. Find the value of γ = `("C"_"P"/"C"_"V")`


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.


Two monoatomic gas A and B occupying the same volume V are at the same temperature T and pressure P. If they are mixed, the resulting mixture has volume V and temperature T. The pressure of the mixture is:


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:


A gas has n degrees of freedom. The ratio of the specific heat of the gas at constant volume to the specific heat of the gas at constant pressure will be ______.


An ideal gas has molecules with 5 degrees of freedom. The ratio of specific heats at constant pressure (CP) and at constant volume (Cv) is ______.


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