Example $4\mathrm{.}7$

What is the maximum temperature that can be reached by the combustion of methane with $20\%$ excess air? Both the methane and the air enter the burner at $25C.($correct answer: $2066$K$)$

Use the iteration method and manual solution. Do not use the Cp values and use the sensible heat integral or mean heat capacity. Show your work please.