Mean free path of a gas molecule is

Options

A. inversely proportional to number of molecules per unit volume
B. inversely proportional to diameter of the molecule
C. directly proportional to the square root of the absolute temperature
D. directly proportional to the pressure

Answer

A

Explanation

Mean free path, `lambda=(1)/(sqrt(2)pid^(2)n)`
where,
n = Number of molecules per unit volume
d = Diamater of the molecules
As `PV=k_(B)NT therefore n=(N)/(V)=(P)/(k_(B)T) therefore lambda=(k_(B)T)/(sqrt(2)pid^(2)P)`
where, `k_(B)` = Boltzmann constant
P = Pressure of gas
T = Temperature of the gas