Kinetic Theory Of Gases Question 159

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 same for all ideal gases

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

C) The mean free path of molecules increases with the decrease in pressure

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

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Coefficient of volume expansion at constant pressure is $ \frac{1}{273} $ for all gases. The average transnational K.E. is same for molecule of all gases and for each molecules it is $ \frac{3}{2}KT $ Mean free path $ \lambda =\frac{KT}{\sqrt{2}\pi d^{2}P} $ (as P decreases, $ \lambda $ increases)



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