$1-$ Methane gas $($CH$4)$ enters a heat treatment furnace operating in steady state at $25\backslash$deg C and $1$ atm pressure and reacts with $140\%$ theoretical air of the same temperature and pressure. Combustion products come out at $1$ atm pressure and $427\backslash$deg C temperatur. Determine;

a$)$ The balanced reaction equation for $1$ kmol of CH$4$

b$)$ Air fuel ratio at molar and mass base $($Kmol$-$air$/$Kmol$-$Methane and kg$-$air$/$kg$-$methane$)$

c$)$ Heat transfer amount for this reaction, in kJ$/$kmol$-$CH$4$