an ideal gas is enclosed in a cylinder at pressure of 2atm and temperature,300k the mean time between two successive collisions is 6×10^-8.If the pressure is doubled and temperature is increased to 500k,the mean time between two successive collisions will be close to?
Hi Aspirant!
As we know that,
t is directly proportional to (Volume/Velocity)
=> Volume is directly proportional to (T/P)
Therefore, t is directly proportional to [(sqr root T)/ P ]
Now, t1 / (6x10^-8) = [(sqr root 500)/2P ] * [P / (sqr root 300) ]
=> t1 = 3.8x10^-8
=> t1 ~= 4x10^-8 seconds
Hope it helps to clear your dilemma, thankyou!