The average speed is calculated using the following formula[tex]speed = \sqrt{\frac{3kT}{m} }[/tex]
Where
[tex]k = 1.381 X 10^{-23} J / K[/tex]
T = 298 K [room temperature]
m = mass of each molecule of oxygen
mass of one mole of oxygen molecules = 32 g / mol
mass of one molecule of oxygen will be = [tex]\frac{32}{6.023 X 10^{23} }[/tex]
mass of one molecule of oxygen will be = [tex]5.31 X 10^{-23} g = 5.31 X 10^{-26} kg[/tex]
putting values
average speed = [tex]\sqrt{\frac{3 X 1.381 X 10^{-23} X 298}{5.31 X 10^{-26} kg} }[/tex]
Average speed = 482.19 m / s
average speed = 1735.8 km / h
so approx = 1700 km/h
