The relative densities of oxygen and carbon dioxide are `16` and `22`,respectively. If `25cm^(3)` of carbon dioxide effuses out in `75s`, What volume of oxygen will effuse out in `96s` under similar condition?

Explanation

`"Here, volume of carbon dioxide, "V(CO_(2))="25 cc"`
`"Time taken, "t(CO_(2))="75 seconds"`
`"Let the volume of oxygen diffused, "V(O_(2))="V cc"`
`"Time taken, "t(O_(2))="96 seconds"`
`"Relative density of carbon dioxide, "d(CO_(2))=22`
`"Relative density of oxygen, "d(O_(2))=16`
`"Now "(r(O_(2)))/(r(CO_(2)))=sqrt((d(CO_(2)))/(d(O_(2))))`
`"or "(V(O_(2)))/(t(O_(2)))//(V(CO_(2)))/(t(CO_(2)))=sqrt((22)/(16))`
`"or "(V(O_(2)))/(t(O_(2)))xx(t(CO_(2)))/(V(CO_(2)))=sqrt((22)/(16))`
`"or "(V(O_(2))xx75)/(96xx25)=sqrt((22)/(16))=1.172`
`"or "V(O_(2))=(1.172xx96xx25)/(75)="37.5 cc"`
`"Thus, volume of oxygen diffused"="37.5 cc."`