Consider a sample of oxygen at 300 K. Find the average time taken by a molecule of travel a distance equal to the diameter of the earth.


In kinetic theory of ideal gas, the average energy is given by



Where R=gas constant=8.31Jmol-1K-1


T=temperature of gas


M=molar mass of gas


Given


Temperature T=300K


Molar mass of oxygen=32amu=32g/mol=3210-3 kg/mol


Therefore




We know that



Distance here is given as diameter of earth


Now radius of earth = 6400km=6400000m


Diameter=2radius


So, diameter of earth =26400000m


So, time taken



1 hour=6060 seconds=3600seconds


So, 28747.83s =h = 7.98h8h


So, average time taken by oxygen molecule to travel a distance


equal to the diameter of the earth is 7.98h8h.


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