If 100 cm3 of oxygen pass through a porous plug in 50 seconds, the time…

If 100 cm3 of oxygen pass through a porous plug in 50 seconds, the time taken for the same volume of hydrogen to pass through the same porous plug is?
(O = 16, H = 1)
  • A.
    10.0 s
  • B.
    12.5 s
  • C.
    17.7 s
  • D.
    32.0 s
Correct Answer: Option B
Explanation

100 cm3 of O2 diffuse 50 sec
∴ 100 cm3 of H2 → (100) / (100) x (50) /(1)
t1 50 sec
molecular mass H+ → 2 x 1 = 2
molecular mass of O2 16 x 2 = 32
T2 = t1 √M2/M1 = t2 = 50 √2/32
50√0.625 = 50 x 0.25 = 12.5 secs

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