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If 30cm3 of oxygen diffuses through a porous pot in 7 seconds, how long will...

Chemistry
JAMB 1978

If 30cm3 of oxygen diffuses through a porous pot in 7 seconds, how long will it take 60cm3 of chlorine to diffuse through the same pot, if the vapour densities of oxygen and chlorine are 16 and 36 respectively?
  • A. 9.3 sec
  • B. 14 sec
  • C. 21 sec
  • D. 28 sec
  • E. 30.3 sec
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Correct Answer: Option C
Explanation
The rate of diffusion of a gas is proportional to the square root of the density.
16 and 7 secs
36 or 6 will be proportional to
7/16 x 6
7/4 x 6
But volume of chlorine is twice that of oxygen. The rate of escape of chlorine is
2/1 x 7/4 x 6/1 = 7 x 3; = 21 sec

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