A gas containing 80% CH4 and 20% He is sent through a quartz diffusion tube (see

Question

A gas containing 80% CH4 and 20% He is sent through a quartz diffusion tube (see FigureP4.1.8) to recover the helium. Twenty percent by weight of the original gas is recovered, and its composition is 50% He. Calculate the composition of the waste gas if 100 kg moles of gas are processed per minute. A gas containing 80% CH4 and 20% He is sent through a quartz diffusion tube (see FigureP4.1.8) to recover the helium. Twenty percent by weight of the original gas is recovered, and its composition is 50% He. Calculate the composition of the waste gas if 100 kg moles of gas are processed per minute.

Explanation / Answer

toatal flow rate= 100kg/min

mass of CH4 in gas= 80

mass of He in gas= 20

in recovered gas 20% is there of gas coming in so flow rate of recovered gas= 0.2*100=20kg/min

and 50% of recovered gas is He= 0.5*20= 10kg/min

so waste gas composition

waste gas flow rate = 100-20=80kg/min

He in waste gas= 20-10=10kg/min

and CH4 in it= 80-10=70kg/min

% He= 10*100/80

%Ch4= 70*100/80

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