The number density of molecules of a gas depends on their distance `r` from the origin as, `n(r)=n_(0) e^(- alpha r^(4))`. Then the total number of molecules is proportional to :

The mean free path of molecules of a gas (radius r) is inversely proportional to

The mean free path of molecules of a gas (radius r) is inversely proportional to

The mean free path of molecules of a gas (radius 'r') is inversely proportional to

The mean free path of molecules of a gas (radius r) is inversely proportional to

The mean free path of molecules of a gas (radius r) is inversely proportional to

The mean free path of a molecule of a gas (radius r)is inversely proportional to:

The potential energy of gas molecules in a certain certral field depends on the distance r from the field's centre as u( r) = ar^ , where a is a positive constant. The gas temperature is T , the concentration of molecules at the centre of the field is n_0 Find : (a) the number of molecules located at the distances between r and r + dr from the centre of the field , (b) the most probable distance separating the molecules from the centre of the field , ( c) the fraction of molecules located in the spherical layer between r and r + dr , (d) how many times the concentration of molecules in the centre of the field will change if the temperature decreases eta times.