A four-stroke engine is running on methane with an equivalenceratio of 0.8. The air and fuel enter the engine at 250 C, theexhaust is at 5270 C, the heat rejected to the coolant is 340MJ/kmol of fuel.(a)Write the equations for stoichiometric andactual combustion.(b)By calculating the enthalpy of the exhaustflow, deduce the specific work output of the engine, and thus theoverall efficiency. (c)If the engine has a swept volume of 5Litres, and volumetric efficiency of 72%, calculate the poweroutput at engine speed of 1500 rpm. The ambient pressure is 1bar.State clearly any assumption that you make, and comment on anyproblem that would occur with a rich mixture.