V disp, cyl bore TDC stroke BDC The piston-cylinder device shown on the left is a cylinder in a spark ignition engine. Below are engine specs for a BMW M5 Sedan with a Twin Turbo V-8: 8.9 cm 8.9 cm 10 compression ratio number of cylinders 8 a. What is the displacement volume, maximum cylinder volume and minimum cylinder volume? cylinder stroke cylinder bore b. The engine is designed to operate with surroundings at STP conditions and a cycle reaching a maximum pressure of 90 atm in the cylinder. Model the cycle as an ideal Otto cycle with the cold air standard and create a table listing the pressure, temperature and volume (extensive) for the working fluid at each stage (ignore exhaust & intake strokes). c. What is the heat intake (per mass, per cylinder) assuming the cold air standard applies? d. What is the extensive value for the heat intake per cylinder for this cycle? e. Gasoline has an energy density of 44 MJ/kg. What is the mass of gasoline required for supply the heat intake per cylinder for the cycle? f. What is the extensive work output per cylinder for the power stroke of the cycle? Find the net work per cycle by subtracting work required for the compression stroke. Again, ignore the exhaust and intake strokes (the work cancels out in the ideal cycle anyway). g. What is the power output for the engine at 6500 RPM? h. What is the entropy change during the heat rejection step? Assume that the interface for the heat transfer can be represented by the ambient temperature. i. draw the cycle on a T-s diagram (intensive entropy kJ/kg/K). Label the starting point s1 for the unknown absolute entropy at state 1.