EASY
Earn 100

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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Important Questions on Kinetic Theory of Gases and Radiation

EASY
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
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)

EASY
The ratio of the specific heats CPCv= γ in terms of degrees of freedom (n) is given by:
EASY

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
EASY

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:

EASY
Pressure of an ideal gas is increased by keeping the temperature constant. The kinetic energy of molecules
EASY
What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature T ? (kB is Boltzmann constant)
EASY
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
EASY
The average thermal energy for a mono-atomic gas is : (kB is Boltzmann constant and T, absolute temperature)
EASY
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 :
EASY

Question Image

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:

EASY
A polyatomic ideal gas has 24 vibrational modes. What is the value of γ?
MEDIUM
Two moles of helium are mixed with n moles of hydrogen. If CpCv=32 for the mixture then the value of n is,
EASY
Two ideal polyatomic gases at temperatures T1 and T2 are mixed so that there is no loss of energy. If F1 and F2, m1 and m2, n1 and n2 be the degrees of freedom, masses, number of molecules of the first and second gas respectively, the temperature of mixture of these two gases is:
EASY
What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature T?
HARD
The number of molecules in one litre of an ideal gas at 2 atmospheric pressure with mean kinetic energy 2×10-9 J per molecule is:
MEDIUM
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 :
EASY
The average kinetic energy of a monoatomic gas molecule kept at temperature 27°C is (Boltzmann constant k=1.3×10-23JK-1)