Laboratory tests of a membrane for (mathrm{H}_{2} / mathrm{CH}_{4}) separation gave a permeate composition of (80 %

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Laboratory tests of a membrane for \(\mathrm{H}_{2} / \mathrm{CH}_{4}\) separation gave a permeate composition of \(80 \% \mathrm{H}_{2}\) and a \(20 \%\) cut when the feed was \(50 \% \mathrm{H}_{2}\) and the feed and permeate absolute pressures were 700 and \(105 \mathrm{kPa}\), respectively.

(a) Calculate the composition of the retentate.

(b) What is the membrane separation factor?

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