The gas having average speed four times as that of SO ₂ (molecular mass 64) is

Step-by-step solution

Average speed (v_ av ) of gas molecules is inversely proportional to the square root of the absolute temperature (T) of the gas v_ av = 8 R T M where R is gas constant and M the molecular weight. Given, v₁=v, M₁=64, v₂=4 v array l v₁ v₂ = M₂ M₁ v 4 v = M₂ 64 array M₂= 64 16 =4 Hence, the gas is helium (molecular mass 4). Note On the basis of the concept that speed is inversely proportional to molecular weight, one can separate two gases from the mixture. If we enclose the mixture in a porous pot and place it in vac