Problem $7$

A combustor, chiller, syngas cleanup, and gasifier work in series. Coal, oxygen $(O_2)$ and steam are fed into the gasifier,

which produces synthesis gas with the following molar analysis: $C{H}_4=0\mathrm{.}1\%,H_2=29\mathrm{.}5\%,C{O}_2=9\mathrm{.}1\%,CO=46\mathrm{.}35\%,N_2=$

$0\mathrm{.}6\%,H_{2}O=13\mathrm{.}6\%,H_{2}S=0\mathrm{.}7\%,N{H}_3=0\mathrm{.}05\%.$ The $H_{2}S$ and $N{H}_3$ are removed and the mixture then passes through a chiller

that condenses $92\%$ of the water present in the syngas stream. The condensate is removed and the resulting gas stream is

fed to the combustor, where it burns completely with $400\%$ of theoretical air. For the combustor, determine the amount of

air required, in kmol per kmol of syngas.

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