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Previous Year Questions on Kinetic Theory of Gasses

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Question 1

Figure shows graphs of pressure versus density for an ideal gas at two temperatures T₁ and T₂.

Question 2

We have a jar A filled with gas characterized by parameters P, V and T and another jar B filled with gas with parameters 2P,

and 2T, where the symbols have their usual meanings. The ratio of the number of molecules of jar A to those of jar B is –

Question 3

A gas molecule of mass m is incident normally on the wall of the containing vessel with velocity u. After the collision, magnitude of the change in momentum of the molecule will be –

Question 4

Gas at pressure P₀ is contained in a vessel. If the masses of all the molecules are halved and their speed doubled, the resulting pressure P will be equal to –

Question 5

If the total translational kinetic energy of H₂ molecules is 7.5 × 10³ J for the gas filled in a container of 10-liter capacity, then the pressure will be in Nm^–2 -

Question 6

Figure shows a parabolic graph between T and

for a mixture of a gas undergoing an adiabatic process. What is the ratio of v_rms and speed of sound in the mixture?

Question 7

A gas is found to obey the law P²V = constant. The initial temperature and volume are T₀ and V₀. If the gas expands to a volume 3V₀, then the final temperature becomes

Question 8

A gas is found to obey the law P²V = constant. The initial temperature and volume are T₀ and V₀. If the gas expands to a volume 3V₀, then the final temperature becomes

Question 9

One mole of ideal monoatomic gas (γ = 5/3) is mixed with one mole of diatomic gas (γ = 7/5). What is γ for the mixture? γ denotes the ratio of specific heat at constant pressure, to that at constant volume.

Question 10

Three perfect gases at absolute temperatures T₁, T₂ and T₃ are mixed. The masses of molecules are m₁, m₂ and m₃ and the number of molecules are n₁, n₂ and n₃ respectively. Assuming no loss of energy, the final temperature of the mixture is

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Jun 15JEE & BITSAT