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Three perfect gases at absolute temperatures T1,T2  and T3 are mixed. If number of molecules of the gases are n1, n2 and n3 respectively then temperature of mixture will be (assume no loss of energy)

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Important Questions on Kinetic Theory

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The temperature of a gas is -68°C. At what temperature will the average kinetic energy of its molecules be twice that of -68°C
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One kg of a diatomic gas is at a pressure of 8×104 N m-2 . The density of the gas is 4 kg m-3 . What is the energy of the gas due to its thermal motion?
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50 cal of heat is required to raise the temperature of 1 mole of an ideal gas from 20°C to 25°C, while the pressure of the gas is kept constant. The amount of heat required to raise the temperature of the same gas through same temperature range at constant volume is R=2 cal mol K-1
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If hydrogen gas is heated to a very high temperature, then the fraction of energy possessed by gas molecules correspond to rotational motion
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If α moles of a monoatomic gas are mixed with β moles of a polyatomic gas and mixture behaves like diatomic gas, then [neglect the vibrational mode of freedom]
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The internal energy of 10 g of nitrogen at N.T.P. is about, (R=8.31 J K-1)
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The mean free path of a molecule of He gas is α. Its mean free path along any arbitrary coordinate axis will be
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To find out degree of freedom, the expression is