(a) An Industrial gas turbine works on the following procedure. The gas enters the turbine at the rate of 166.67mol/s with an inlet velocity of 50m/s and enthalpy of 900kJ/kg. It leaves the turbine with a velocity of 150m/s and enthalpy of 400kJ/kg. There is a loss of heat of 25kJ/kg from the system to the surroundings. The molar mass of the gas is 30g/mol. Assume the value of gas constant, R, for the gas as 0.285kJ/kgK and heat capacity, Cp, as 1.004kJ/kgK. Ideal gas law is allowed to be used. (i) Calculate the work rate (in kW ). [10 marks] (ii) Determine the diameter of the inlet pipe. [4 marks] (b) Determine the acentric factor for ethanol. Show step-wise calculations. Question 2: In a 15cm diameter pipe, air flows at a rate of 2kg/s. It has a pressure of 7 bar and a temperature of 95C before it is throttled by a valve to 3.5 bar. (i) Determine the change in entropy of air. [16 marks] (ii) Prove that the change in enthalpy is small. [6 marks] Assume air to behave as an ideal gas. The heat transferred is very small and is negligible. Average molar mass of air is 28.84g/mol. Given: CP for air =1008.98kgKJ Question 3: [22 marks] Generate a table of fugacity and fugacity coefficient as a function of Pressure (P- i data with at least 8 values) for 1,3 -butadiene at 40C for the pressure range of 0 to 10 bar, using second virial coefficient. The vapor pressure of 1,3 -butadiene at 40C is 4.287 bar