The ratio of average speed of CO₂ and N₂O is
Average Speed: It is the sum of speed of all the molecules divided by the total number of molecules.
Formula for calculating Average speed of molecules:
= [tex]\sqrt \frac{8RT}{\pi M}[/tex]
where, R = Universal Gas Constant
T = Temperature
M = Molecular weight of Gas
Average speed of CO₂ = [tex]\sqrt \frac{8RT}{\444\pi }[/tex] (molecular weight of CO₂ = 44gm)
Average speed of N₂O = [tex]\sqrt \frac{8RT}{44\pi }[/tex] (molecular weight of N₂O = 44gm)
By calculating, ratio of average speed of CO₂ and N₂O = 1:1
Therefore, at constant temperature the ratio of average speed of carbon dioxide and nitrous oxide will be 1:1