Degrees of Freedom and Law of Equipartition of Energy

IMPORTANT

Degrees of Freedom and Law of Equipartition of Energy: Overview

This Topic covers sub-topics such as Equipartition of Energy, Translational Degree of Freedom, Rotational Degree of Freedom, Vibrational Degree of Freedom and, Expression for Total Energy of Gas Molecules in Terms of Degrees of Freedom

Important Questions on Degrees of Freedom and Law of Equipartition of Energy

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A flask contains Hydrogen and Argon in the ratio 2:1 by mass. The temperature of the mixture is 30°C. The ratio of average kinetic energy per molecule of the two gases KargonKhydrogen is: (Given : Atomic Weight of Ar=39.9)

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Match List I with List II:

  List I   List II
(A) 3 Translational degrees of freedom (I) Monoatomic gases
(B) 3 Translational, 2 rotational degrees of freedoms (II) Polyatomic gases
(C) 3 Translational, 2 rotational and 1 vibrational degrees of freedom (III) Rigid diatomic gases
(D) 3 Translational, 3 rotational and more than one vibrational degrees of freedom (IV) Nonrigid diatomic gases

Choose the correct answer from the options given below:

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To find out the degree of freedom, the expression is 

 

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The number of vibrational degrees of freedom of a diatomic molecule is

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In non-rigid diatomic molecule with an additional vibrational mode

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A vessel contains a non-linear triatomic gas. If 50% of gas dissociate into individual atom, then find new value of degree of freedom by ignoring the vibrational mode and any further dissociation

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If water is treated like a solid, each molecule of water at temperature T will have energy equal to

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The translational kinetic energy of 1 g molecule of a gas, at temperature 300 K is R=8.31 J mol-1 K-1

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A polyatomic gas with n degrees of freedom has a mean energy per molecules given by :

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Mention the degrees of freedom for a triatomic gas molecule.

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Mean kinetic energy per degree of freedom of gas molecules is 

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Degree of freedom of a triatomic gas is? (Consider moderate temperature)

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The degrees of freedom of a diatomic gas at normal temperature is:

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A diatomic gas molecule has translational, rotational and vibrational degree of freedom. The CpCv is

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State the types of degrees of freedom of non-rigid diatomic molecules.

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Non-rigid diatomic gas molecules have both translaion and rotational degree of freedom.

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Rigid diatomic molecules of gas have how many rotational degrees of freedom?

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Why the maximum possible degrees of freedom are more for a non-rigid diatomic molecule as compared to a rigid diatomic molecule?

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Two vibrational energy terms in the total energy of a non-rigid diatomic molecule, are present due to the kinetic energies of the two vibrating atoms.

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The total number of degrees of freedom for a non-rigid diatomic molecule is equal to: