80 mL of `O_(2)` takes 2 minutes to pass through the hole. What volume of `SO_(2)` will pass through the hole in 3 minute?

Options

A. `( 120)/( sqrt( 2))`
B. `120 xx sqrt( 2)`
C. `( 12)/( sqrt( 2))`
D. None of these

Answer

A

Explanation

`(r_(1))/( r_(2)) = (V_(1)//t_(1))/(V_(2)//t_(2))= ( V_(1)xxt_(2))/(V_(2)xxt_(1)) = sqrt((M_(2))/( M_(1))),`
`(80 xx 3)/( V_(2) xx 2) = sqrt((64)/( 32)) = sqrt( 2) , V_(2) = ( 120)/( sqrt( 2))`