Methane $($CH$4)$ is burned with $20\%$ excess air in the furnace of a steam power plant. The

methane is supplied at $1$ atm, $25\backslash$deg C$,$ and the air is preheated to $177\backslash$deg C$.$ The products of complete

combustion leave the stack at $150\backslash$deg C$.$ Assuming negligible energy losses to the surroundings,

determine the energy transferred to the steam per kmol of methane in the form of heat transfer.

$\{814$ MJ$/$kmol CH$4\}$