MEDIUM
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Important Questions on Kinetic Theory

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The number of natural numbers less than 7000 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition of digits allowed) is equal to:
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One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is 
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A particle of mass 1 kg is moving in SHM with a path length of 0.01 m and frequency of 50 Hz. The maximum force in newton, acting on the particle is
EASY
Describe the total degrees of freedom for mono-atomic molecule, diatomic molecule and triatomic molecule.
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During an adiabatic process, the pressure of a mixture of monatomic and diatomic gases is found to be proportional to the cube of the temperature. Find the value of γ=CpCv.
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When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is
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Estimate the total number of air molecules in a room of capacity 25 m3 at a temperature of 27°C.
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500 J of heat energy is removed from 4 moles of a monoatomic ideal gas at constant volume. The temperature drops by
MEDIUM
Three moles of oxygen are mixed with two moles of helium. What will be the ratio of specific heats at constant pressure and constant volume for the mixture?
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A gaseous mixture enclosed in a vessel contains 1 g mole of a gas A (with γ=5/3 ) and another gas B (with γ=7/5 ) at a temperature T. The gases A and B do not react with each other and are assumed to be ideal. The number of gram moles of B if γ for the gaseous mixture is 19/13 is:
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The ratio γ = CpCv for a gas mixture consisting of 8 g of helium and 16 g of oxygen is 
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The temperature of a silver bar rises by 10°C when it absorbs 1.23 kJof energy by heat. The mass of the bar is 525 g. Determine the specific heat of silver.
MEDIUM
Derive the ratio of two specific heat capacities of mono-atomic, diatomic and triatomic molecules.
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In the above question, if γ=1.5, the gas may
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If universal gas constant is R, the essential heat to increase from 273 K to 473 K at constant volume for monoatomic ideal gas of 4 mol is
HARD
One mole of an ideal monatomic gas at temperature T0 expands slowly according to the law PV=c. If the final temperature is 2T0, heat supplied to the gas is: (c is a constant)
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Two mole of oxygen is mixed with eight mole of helium. The effective specific heat of the mixture at constant volume is _____R.
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If CP and Cv denote the specific heats of unit mass of nitrogen at constant pressure and volume respectively, then:
EASY
In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT=K, where K is a constant. In this process the temperature of the gas is increased by T. The amount of heat absorbed by gas is ( R is gas constant):