ThermodynamicsHard

Question

From the following statements concerning ideal gas at any given temperature T, select the correct one (s)

Options

A.The coefficient of volume expansion at constant pressure is the same for all ideal gases
B.The verage translation kinetic energy per molecules of oxygen gas is 3 kT, k being Boltzman constant
C.The mean-free path of molecules increases with decreases in the pressure
D.In a gaseous mixture, the average translation kinetic enrgy of the molecules of each component is different

Solution

For one mole of an ideal gas pV = RT
The coefficient of volume expansion at constant pressuire is given by,
     = constant       [Option (a)]
The average translations kinetic energy per molecule is and not 3 kT. With decrease of pressure, volume of the gas increase so its free path. [option (c)] The average translation kinetic energy of 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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