Methane (ch4) at 298 k, 1 atm enters a furnace operating at steady state and burns completely with 220% of theoretical air entering at 400 k, 1 atm. the products of combustion exit at 500 k, 1 atm. the flow rate of the methane is 1.2 kg/min. kinetic and potential energy effects are negligible and air can be modeled as 21 % o2 and 79% n2 on a molar basis. determine the rate of heat transfer for a control volume enclosing the reacting gases, in kw (use sign convention)