An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature, 300 K . The mean time between two successive collisions is 6 x 10-8 s. If the pressure is doubled and temperature is increased to 500 K, the mean time between two successive collisions will be close to :
Root mean square velocity -
- wherein
R = Universal gas constant
M = molar mass
P = pressure due to gas
= density
and mean free path =
......1
but ..........2
From 1 and 2