$(45$ points$)$ Ethane is to be burned with $50\mathrm{.}0\%$ excess air in a boiler furnace. Ethane and air

enter the furnace at $298K$ and $473K,$ respectively. The heat capacities of the flue gas

components may be assumed to have the following constant values:

$C_{p,N_2}=31\mathrm{.}3\frac{J}{\text{m}\text{o}\text{l}\text{.}K}$

$C_{p,C{O}_2}=50\mathrm{.}0\frac{J}{\text{m}\text{o}\text{l}\text{.}K}$

$C_{p,H_{2}O(v)}=38\mathrm{.}5\frac{J}{\text{m}\text{o}\text{l}\text{.}K}$

$C_{p,O_2}=33\mathrm{.}1\frac{J}{\text{m}\text{o}\text{l}\text{.}K}$

a$.$ Taking as a basis of calculation $1\mathrm{.}0$ mol of the ethane fed to the furnace draw and label a

flowchart of the process.

b$.$ Perform all required material balance calculations.

c$.$ Write the energy balance for the process.

d$.$ Assuming complete combustion of the fuel, calculate the adiabatic flame temperature, $T_{ad,},$

in $C.$