Methane $(C{H}_4)$ at $298$ K $,1$ atm enters a furnace operating at steady state and burns completely with $140\%$ of theoretical air entering at $400K,1$atm. The products of combustion exit at $500K,1$atm. The flow rate of the methane is $1k\frac{g}{m}in.$ Kinetic and potential energy effects are negligible and air can be modeled as $21\%O_2$ and $79\%N_2$ on a molar basis.

Step $1$

Determine the dew point temperature of the products, in K$.$

$T_{dp}=$

K

Attempts: $1$ of $3$ used

Step $2$

Determine the rate of heat transfer for a control volume enclosing the reacting gases, in kW$.$

$Q_{cv}^{}=$

$\frac{i}{kW}$