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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.