Liquid ethanol at a rate of $0\mathrm{.}0018$ kg$/$s and is mixed with theoretical amount of air enters an internal combustion engine operated at setady state at $25$C$,1$atm. When combustion is complete, the products exit at $600$C$.$ Combustion air and products each form ideal gas mixtures. The engine generates $50$kW of power. Determine the rate of heat transfer from the engine in kW$.$ Kinetic and potential engergies are negligible.