Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2.0 atm and temperature `17^(@)C`. Take the radius of a nitrogen molecule to be roughly 1.0Å. Compare the collision time with the time molecule moves freely between two successive collision `(M of N_(2)=28)`

For a molecule of diameter 2.5 Å and number density of molecule 2.1 xx 10^(25) molecule /m^(3) , calculate average distance (mean free path) covered by a molecule between two successive collisions.

A discharge tube containing nitrogen gas at 25^(@)C in evacuated till the pressure is 2xx10^(-2) mm. If the volume of discharge tube is 2 litre. Calculate the number of nitrogen molecules still present in the tube (R=0*0821 L "atm mol"^(-1)K^(-1))

x L of nitrogen at N.T.P. contains 3.0xx10^22 molecules. The number of molecules in x/2 ozone at N.T.P. will be

In a chamber, a uniform magnetic field of 8.0 G is maintained. An electron with speed of 4.0 times 10^(6)ms^(-1) enters the chamber in a direction normal to the field. (a) Describe the path of the electron. (b) What is the frequency of revolution of the electron? (c) What happens to the path of electron if it progessively loses its energy due to collisions with the atoms or molecules of the environment?