31.
Calculate number of stages of diffusion required to be enriched from initial mole ratio of CH4 and O2
from 3:1 to 48:1 by means of diffusion process.
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CHEMISTRY
Deffusion is directly proportional to the mole fraction and inversely proportional to the square root of molar mass.
r /r' = V/V' × t'/t = X/X' × √M'/M
Here, r,V,t,X and M are the rate of diffusion, volume diffused, time for diffusion, mole fraction and the molar mass for He respectively
and r' ,V' ,t' ,X' ,M' are the rate of diffusion, volume diffused, time for diffusion, mole fraction and the molar mass for methane respectively
X/X × t'/5 = 2/1 × √16/4
t' = 40sec
Hence, the time required to effuse same volume of methane gas is 40 sec.
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