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Earn 100

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

Important Questions on Kinetic Theory

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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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A polyatomic ideal gas has 24 vibrational modes. What is the value of γ?
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In non-rigid diatomic molecule with an additional vibrational mode
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The average kinetic energy of a monoatomic gas molecule kept at temperature 27°C is (Boltzmann constant k=1.3×10-23JK-1)
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Match the CpCv ratio for ideal gases with different type of molecules:

Molecule Type Cp/Cv
(A) Monoatomic (I) 7/5
(B) Diatomic rigid molecules (II) 9/7
(C) Diatomic non-rigid molecules (III) 4/3
(D) Triatomic rigid molecules (IV) 5/3
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The ratio of the specific heats CPCv= γ in terms of degrees of freedom (n) is given by:
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A diatomic gas is heated at constant pressure, what fraction of the heat energy is used to increase the internal energy?
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The average thermal energy for a mono-atomic gas is : (kB is Boltzmann constant and T, absolute temperature)
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Molecules of an ideal gas are known to have three translational degrees of freedom. The gas is maintained at a temperature of T. The total internal energy, U of a mole of this gas, and the value of γ=CpCv are given, respectively, by
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For a gas the value of RCv=0.4, so the gas is
(R-Universal gas constant)
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Consider a gas of triatomic molecules. The molecules  are assumed to be triangular and made of massless rigid rods whose vertices are occupied by atoms. The internal energy of a mole of the gas at temperature T is:

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Given below are two statements:

Statement I: In a diatomic molecule, the rotational energy at a given temperature obeys Maxwell's distribution.

Statement II : In a diatomic molecule, the rotational energy at a given temperature equals the translational kinetic energy for each molecule.

In the light of the above statements, choose the correct answer from the options given below:

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A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Assuming the gases to be ideal and the oxygen bond to be rigid, the total internal energy (in units of RT) of the mixutre is :
HARD

Using equipartition of energy, the specific heat (in J kg-1 K-1 ) of Aluminium at high temperature can be estimated to be (atomic weight of Aluminium =27)

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A closed vessel contains 0.1 mole of a monoatomic ideal gas at 200 K. If 0.05 mole of the same gas at 400 K is added to it, the final equilibrium temperature (in K) of the gas in the vessel will be close to ______
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The average energy of molecules in a sample of oxygen gas at 300 K are 6.21×10-21J. The corresponding values at 600 K are
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Pressure of an ideal gas is increased by keeping the temperature constant. The kinetic energy of molecules
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If one mole of the polyatomic gas is having two vibrational modes and β is the ratio of molar specific heats for polyatomic gas β=CPCv then the value of β is :
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Two moles of helium are mixed with n moles of hydrogen. If CpCv=32 for the mixture then the value of n is,
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A man is climbing up a spiral staircase. His degrees of freedom are