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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. - Physics

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प्रश्न

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.

संख्यात्मक
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उत्तर

For two moles of diatomic nitrogen with no vibrational mode,

U1 = `2 xx 5/2 "RT"` = 5 RT

For four mole of monatomic argon,

U2 = `4 xx 3/2 "RT"` = 6 RT

Total energy of the gas, U = U1 + U2

= 5 RT + 6 RT

U = 11 RT

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पाठ 9: Kinetic Theory of Gases - Evaluation [पृष्ठ १८६]

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सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 9 Kinetic Theory of Gases
Evaluation | Q IV. 8. | पृष्ठ १८६

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"`?


Define the term degrees of freedom.


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


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")`


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:


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.

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


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  1. A molecule with n degrees of freedom has n2 different ways of storing energy.
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  4. CH4 has a total of 6 degrees of freedom.

Choose the correct answer from the option given below:


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