Homework will be collected at the beginning of class. For problems requiring coding, please attach a copy of the code (or excel sheet) at the end of the work. Please remember to comment your Matlab codes! 1. Develop an ideal cycle thermodynamic model in Matlab or Excel with constant-volume combustion for the engine geometry listed in Table 1 (from HW1). Assume stoichiometric operation with iso-octane (C8H18, Qlhv = 44.31 MJ/kg), and ideal gas behavior with cv = 0.946 kJ/kg-K and y =1.30. Assume Pin = 100kPa, and Pex = 125kPa, and the residual fraction is 0.08. The temperature at the beginning of the compression stroke (i.e. T) is 345K. a. Plot the cylinder pressure in [bar] as a function of crank angle from -360 to +360 degrees crank angle. b. Plot the cylinder pressure in [bar] as a function of volume in [cm'] on both a linear and a logarithmic scale. C. Calculate the gross IMEP, net IMEP, gross efficiency, and net efficiency for this thermodynamic cycle. Table 1: FEV Single-Cylinder Engine Specifications Engine Parameter Value Stroke [mm] 82.1 Bore [mm] 87.95 Connecting Rod Length [mm] | 156.95 | Rod to Crank Ratio, [-] 3.846 Compression Ratio [-1 11.9:1 Homework will be collected at the beginning of class. For problems requiring coding, please attach a copy of the code (or excel sheet) at the end of the work. Please remember to comment your Matlab codes! 1. Develop an ideal cycle thermodynamic model in Matlab or Excel with constant-volume combustion for the engine geometry listed in Table 1 (from HW1). Assume stoichiometric operation with iso-octane (C8H18, Qlhv = 44.31 MJ/kg), and ideal gas behavior with cv = 0.946 kJ/kg-K and y =1.30. Assume Pin = 100kPa, and Pex = 125kPa, and the residual fraction is 0.08. The temperature at the beginning of the compression stroke (i.e. T) is 345K. a. Plot the cylinder pressure in [bar] as a function of crank angle from -360 to +360 degrees crank angle. b. Plot the cylinder pressure in [bar] as a function of volume in [cm'] on both a linear and a logarithmic scale. C. Calculate the gross IMEP, net IMEP, gross efficiency, and net efficiency for this thermodynamic cycle. Table 1: FEV Single-Cylinder Engine Specifications Engine Parameter Value Stroke [mm] 82.1 Bore [mm] 87.95 Connecting Rod Length [mm] | 156.95 | Rod to Crank Ratio, [-] 3.846 Compression Ratio [-1 11.9:1