A mixture of fuel containing$30\%molC{H}_4,30\%mol{C}_2{H}_6,30\%mo{l}_3{H}_8,$ and $10\%$ mol $C_4{H}_{10}$ preheated at $50C$ was burned in a furnace with $101\%$ excess air preheated initially at $50C,$ at a pressure of $760mmHg,$ and with $90\%RH.$ The fractional conversions of $C{H}_4,C_2{H}_6,$ and $C_4{H}_{10}$ were $0\mathrm{.}95,0\mathrm{.}90,$ and $0\mathrm{.}85,$ respectively. Of the fuel burned, $90\%$ of the total carbon content of the fuel was converted to $C{O}_2$ and the balance to $CO$ while $95\%$ of the total hydrogen $(H_2)$ content of the fuel was converted to water and the balance exited as $H_2$ gas.

If $100$ moles of the fuel mixture were burned, calculate the amount of heat that must be removed from the furnace to

maintain the combustion products at $500C.$ Indicate the adiabatic flame temperature if all the fuel was burned completely.

$($You may copy the same sheet to show the adiabatic flame temperature output $-$ A total of two sheets in one file$).$