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

From the following statements concerning ideal gas at any given temperature \mathrm{T}, select the correct one (s) :

Option: 1

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


Option: 2

The average translational kinetic energy per molecule of oxygen gas is 3 \mathrm{kT}$, $\mathrm{k} being Boltzmann constant


Option: 3

The mean-free path of molecules increases with increase in the pressure

 


Option: 4

 Both a and c are correct


Answers (1)

best_answer

For one mole of an ideal gas PV = RT

The coefficient of volume expansion at constant pressure is given by
\mathrm{\left(\frac{\Delta V}{\Delta T}\right)_{P}=\frac{R}{P}=\text { constant } \quad \text { (option a) }}

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

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.

Posted by

Pankaj Sanodiya

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