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Find the mean free path and the mean time interval between successive collisions of gaseous nitrogen molecules (a) under standard conditions , (b) at temperature t = 0 ^@C and pressure p = 1.0 nPa (such a pressure can be reached by means of contemporary vacuum pumps).

Comprehension-3 An ideal gas initially at pressure p_(0) undergoes a free expansion (expansion against vacuum under adiabatic conditions) until its volume is 3 times its initial volume. The gas is next adiabatically compressed back to its original volume. The pressure after compression is 3^(2//3)p_(0) . The pressure of the gas after the free expansion is:

Comprehension-3 An ideal gas initially at pressure p_(0) undergoes a free expansion (expansion against vacuum under adiabatic conditions) until its volume is 3 times its initial volume. The gas is next adiabatically compressed back to its original volume. The pressure after compression is 3^(2//3)p_(0) . The gas

Comprehension-3 An ideal gas initially at pressure p_(0) undergoes a free expansion (expansion against vacuum under adiabatic conditions) until its volume is 3 times its initial volume. The gas is next adiabatically compressed back to its original volume. The pressure after compression is 3^(2//3)p_(0) . What is the ratio of the average kinetic energy per molecule in the final state to that in the initial state?

A piston can freely move inside a horizontal cylinder closed from both ends. Initially, the piston separates the inside space of the cylinder into two equal parts each of volmek V_0 in which an ideal gas is contained under the same pressure p_0 and at the same temperature. What work has to be performed in order to increase isothermally the volume of one part of gas eta times compared to that of the other by slowly moving the piston ?