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In non-rigid diatomic molecule with an additional vibrational mode

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Important Questions on Kinetic Theory

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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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Directions: Each of the following sentences in this section has a blank space and four words or group of words given after the sentence. Select the word or group of words you consider most appropriate for the blank space and indicate your response on the Answer Sheet accordingly.

Every rash driver becomes a ____ killer.

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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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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 :
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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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The average thermal energy for a mono-atomic gas is : (kB is Boltzmann constant and T, absolute temperature)
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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:
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Two sentences are given below and you are required to find the correct sentence which combines both the sentences.

Which is the correct combination of the given two sentences?

He is too tired. He could not stand.

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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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In the following sentence, a blank space with four options is given. Select whichever preposition or determiner you consider the most appropriate for the blank space.

These are the good rules to live _____.

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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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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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A man is climbing up a spiral staircase. His degrees of freedom are
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A polyatomic ideal gas has 24 vibrational modes. What is the value of γ?
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:
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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)
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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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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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Two moles of helium are mixed with n moles of hydrogen. If CpCv=32 for the mixture then the value of n is,