Coke can be converted to CO $($a fuel gas$)$ in the reaction: CO$2($g$)+$ C$($s$)2$CO$($g$)$A coke that contains $84\mathrm{.}00\%$ carbon by mass and $16\mathrm{.}00\%$ noncombustible ash is fed to a reactor with a stoichiometric amount of CO$2.$ The coke is fed at $77$oF and the CO$2$ enters at $400$oF$.$ Heat is transferred to the reactor in the amount of $5859$ Btu per lb of coke fed. The gaseous products and the solid effluent $($the ash and unconverted carbon$)$ leave the reactor at $1830$oF$.$ the heat capacity of the solid is $0\mathrm{.}24$ Btu$/($lb$-$oF$).$ Calculate the percent conversion of carbon in the coke.