20 l of so2 diffuses through a porous partition

Asked by admin @ 20/08/2021 in Chemistry viewed by 259 People

20 litre of SO2 diffuses through a porous partition in 60 seconds. Volume of O2 diffuse under similar conditions in 30 seconds will be?

A) 12.41 litresB) 14.14 litresC) 18.14 litresD) 28.14 litres

Answered by admin @ 20/08/2021

The answer is 14.14 Litres.
Given: Volume of SO2=20 liter, Time taken for diffusion by SO2= 60 sec, Time taken for diffusion by O2= 30 sec.
To find: Volume of O2
Solution:
Let the volume of O2 be V
Rate of diffusion of SO2=20/60=1/3
Rate of diffusion of O2=V/30
We know, r1/r2=root of m2/root of m1 (where m1 and m2 are the molecular masses)
1/3/V/30=square root of 32/square root of 64
1/3* root 2=V/30
10*root 2=V
10*1.414=V
14.14 litres=V
i.e Volume of O2 is 14.14 litres

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