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Answer:
The answer is 14.14 dm^3
Given: Volume of SO2=20 dm^3 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 dm^3 =V
i.e Volume of O2 is 14.14 dm^3.
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