Degrees of Freedom and Law of Equipartition of Energy

IMPORTANT

Degrees of Freedom and Law of Equipartition of Energy: Overview

This topic covers concepts, such as, Monoatomic, Diatomic and Polyatomic Molecules, Equipartition of Energy & Relation Between Adiabatic Exponent and Degrees of Freedom etc.

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

MEDIUM
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Name the type of the gas if its molar specific heat is given by RCv=0.67

MEDIUM
IMPORTANT

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

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

MEDIUM
IMPORTANT

The gases Carbon monoxide and Nitrogen at the same temperature have kinetic energies E1 and E2, respectively. Then,

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
IMPORTANT

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

EASY
IMPORTANT

If CP and Cv denote the specific heats of unit mass of nitrogen gas at constant pressure and volume respectively, then:

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

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)

EASY
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The average energy per mole of an ideal gas of number of degrees of freedom equal to nat temperatureT is _____.

HARD
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When x amount of heat is given to a gas at constant pressure, it performs x3 amount of work. The average number of degrees of freedom per molecule of the gas is:

EASY
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The ratio CP/CV for a gas mixture consisting of 8 g of helium and 16 g of oxygen is :

EASY
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The degree of freedom of an atom of a solid substance are

EASY
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1 mole of a gas having γ=75 is mixed with 1 mole of a gas having γ=43. What will be the γ for the mixture?

EASY
IMPORTANT

The temperature of argon, kept in a vessel, is raised by 1°C at a constant volume. The total heat supplied to the gas is a combination of translational and rotational energies. Their respective shares are:-

EASY
IMPORTANT

For a gas, if ratio of specific heats at constant pressure and volume is γ, then value of degrees of freedom is,

EASY
IMPORTANT

Let E be the kinetic energy of one mole of gas at temperature 300 K and E'at temperature 400 K. Find the value of E'E .

MEDIUM
IMPORTANT

Calculate the mean kinetic energy of one gram of carbon dioxide gas. Carbon dioxide CO2 is a triatomic gas (O=C=O). (Given, N= Avogadro number, k = Boltzmann constant and molecular weight of CO2=44)

MEDIUM
IMPORTANT

If I is the moment of inertia of a rigid diatomic molecule, then calculate the angular mean square velocity of a rotating molecule in the gas sample, if the temperature is T. (k=Boltzmann constant)

EASY
IMPORTANT

A gas has volume V and pressure P. What is the total translational kinetic energy of all the molecules of the gas ?