Question $4(35$ marks$)$

An experimental study was conducted involving the pyrolysis of rice hulls to assess the use

of renewable resources. Following the pyrolysis process, the composition of the resulting

gas was determined to be $6\mathrm{.}4\%C{O}_2,0\mathrm{.}1\%O_2,39\%CO,51\mathrm{.}8\%H_2,0\mathrm{.}6\%C{H}_4,$ and $2\mathrm{.}1\%N_2.$

This gas was introduced into a combustion chamber at a temperature of $90F$ and a pressure

of $35$ in $Hg,$ where it was burned with $40\%$ excess air at $70F$ and a pressure of $29\mathrm{.}4$ in $Hg.$ It

was found that $10\%$ of the CO remained after combustion, while the product gas consisted

of $CO,C{O}_2,H_{2}O,O_2$ and $N_2.$

a$)$ Draw and fully label a flow diagram of the system

b$)$ Provide the balanced stoichiometric reactions that occur in the given system.

c$)$ Using atomic balances, determine the composition of the product gas leaving the

combustion chamber.

d$)$ How many cubic feet of air were supplied per cubic foot of entering gas? $(8$ marks$)$

e$)$ How many cubic feet of product gas were produced per cubic foot of entering gas, if

the exit gas was at $29\mathrm{.}4$ in $Hg$ and $400F?$