# An ideal gas is enclosed in a cylinder at a 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 the 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

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