The volumes of ozone and chlorine diffusing in the same time are `35 mL` and `29mL`, respectively. If the molecular weight of chlorine is `71`, calculate the molecular weight of ozone.

Explanation

Applying graham's law of diffusion
`(r_(1))/(r_(2))=sqrt((d_(2))/(d_(1)))=sqrt((M_(2))/(M_(1)))`
or `(v_(1)//t)/(v_(2)//t)=sqrt((M_(2))/(M_(1)))` or `(v_(1))/(v_(2))=sqrt((M_(2))/(M_(1)))`
or `(v_(O_(3)))/(v_(Cl_(2)))=sqrt((M_(Cl_(2)))/(M_(O_(3))))`
or `(35)/(29)=sqrt((71)/(M_(O_(3))))`
or `M_(O_(3))=71xx((29)/(35))^(2)=48.7`