A one-litre single-cylinder four-stroke supercharged spark-ignition engine burns premixed butane and air and runs at 3000 revolutions per minute. The engine has a constant intake pressure of 1.5 bar and a constant exhaust pressure of 1 bar. The compression and expansion strokes are isentropic with volume ratios of 10. The temperature at the start of the compression stroke is 340 K and the temperature at the start of the expansion stroke is 2200 K. Combustion can be assumed to occur instanteously and adiabatically at top dead centre. The gas in the cylinder can be treated as a perfect gas with Cv = 1.2 kJ.kg-1K-1 and Cp/Cv = 1.33. The constant pressure lower calorific value for butane at 1 bar and 25 C is (-AH) = 45.3 MJ/kg. (i) Sketch the four-stroke cycle on a pressure-volume diagram and label each stroke of the engine (ii) Calculate the indicated specific work output from one machine cycle. (iii) Calculate the indicated power output from the engine (iv) Calculate the air fuel ratio for the engine. (v) Assuming a mechanical efficiency of 80%, calculate the brake specific fuel consumption.