If 100cm3 of oxygen pass through a porous plug is 50 seconds, the time taken for the same volume of hydrogen to pass through the same porous plug is? [O = 16, H = 1]
-
A.
10.0s -
B.
12.5s -
C.
17.7s -
D.
32.0s
Correct Answer: Option B
Explanation
Rate of diffusion (frac{alpha_1}{Density}) or (frac{1}{sqrt{Mm}})
Rate = (frac{1}{time})
(frac{1}{time}) (frac{alpha_1}{Density}) or (frac{1}{sqrt{Molarmass}})
Time (alpha sqrt{Density}) or (sqrt{Molarmass})
At constant volume of 100cm3
(frac{t_{o2}}{sqrt{Mn_{o2}}}) = (frac{t_{n2}}{sqrt{1 times 2}})
(frac{50}{4 sqrt{2}}) = (frac{t_{n2}}{sqrt{2}})
tn2= 12.5s
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