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$1)$ The following combustion reaction is carried out in a combustion

chamber:

$C2H6+3\mathrm{.}5(3\mathrm{.}76N2+O2)1\mathrm{.}9CO2+0\mathrm{.}1CO+3H2O+13\mathrm{.}16N2+$

$0\mathrm{.}05O2.$

Air enters the combustion chamber $500[K],$ fuel $($gaseous ethane,

$C2H6$ at $25[C]$ and $1[$atm$],$ and all products exit at $800[K].$

Determine both the enthalpy of reactants and products in units of

$[$kJ$/$kmol$].$

Consider ideal gas behavior for reactants and products.

$2)$Estimate the adiabatic flame temperature, the maximum

temperature that the products could have, $($in $C)$ of the following

reaction:

$CH4+2(3\mathrm{.}76N2+O2)CO2+2H2O+7\mathrm{.}52N2.$

Consider that the reactants enter at a temperature of $298[$K$].$