Law of Equipartition of Energy

IMPORTANT

Law of Equipartition of Energy: Overview

This topic covers concepts, such as, Degrees of Freedom of Gas Molecule, Translational Degree of Freedom, Molar Kinetic Energy & Molecular Kinetic Energy etc.

Important Questions on Law of Equipartition of Energy

EASY
IMPORTANT

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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IMPORTANT

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

HARD
IMPORTANT

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?

MEDIUM
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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:

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There are _____ translational degrees of freedom and three rotational degrees of freedom of Ozone.

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The number of translational degrees of freedom for a diatomic gas is 

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The number of degree of freedom for a rigid diatomic molecule is 

MEDIUM
IMPORTANT

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

MEDIUM
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A container has one mole of mono-atomic ideal gas. Each molecule has f degrees of freedom. What is the ratio of γ =CpCv.

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Choose the relation between the average kinetic energy and pressure.

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Total number of degrees of freedom of a rigid diatomic molecule is

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Choose the wrong options.

EASY
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The mean kinetic energy of a vibrating diatomic molecule with two vibrational modes is (k= Boltzman constant and T= Temperature)

MEDIUM
IMPORTANT

Two ideal monatomic gases A and B at 27  and 37  are mixed. The number of moles in gas A is 2 and number of moles in gas B is 3. What will be the temperature of the mixture?

HARD
IMPORTANT

The kinetic energy of 1kg of oxygen at 300K is 1.356×106J. Find the kinetic energy of  4kg of oxygen at 400K.

MEDIUM
IMPORTANT

State the law of equipartition  of energy. 

HARD
IMPORTANT

Using expression for pressure exerted by gas, deduce expression for 

Kinetic energy per mole or kilomole.