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Q.

From the following statements, concerning ideal gas at any given temperature T, select the wrong one

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a

In a gaseous mixture, the average translational kinetic energy of the molecules of each component is same

b

The coefficient of volume expansion at constant pressure is same for all ideal gas

c

The average translational kinetic energy per molecule of oxygen gas is 3KT(K being Boltzmann constant)

d

The mean free path of molecules increases with decrease in pressure

answer is B.

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Detailed Solution

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For one mole of an ideal gas
pV=RT
The coefficient of volume expansion at constant pressure is given by

ΔVΔTv=Rp= constant 

The average translational kinetic energy per molecule is (3/2)kT and not 3kT. With decrease of pressure, volume of the gas increases so its mean free path,

The average translational kinetic energy of the molecules is independent of their nature, so each component of the gaseous mixture will have the same value of average translational kinetic energy

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