At 27^ C , 500 ~mL of helium diffuses in 30 minutes. What is the time (in hours) taken for 1000 ~mL of SO ₂ to diffuse under same experimental conditions?

Step-by-step solution

Given, r_ He = 500 30 ~mL / min r_ SO ₂ = 1000 t ~mL / min gathered M_ He =4 M_ SO ₂ =64 gathered From Graham's law aligned r_ He r_ SO ₂ & = M_ SO ₂ M_ He 500 30 t 1000 & = 64 4 t 60 & =4 t & =240 ~min =4 hrs . aligned