For a nozzle-duct system shown in Fig Q3, the nozzle is designed to produce a Mach number of 2.8 with y = 1.4, The inlet conditions are pos= 10 bar and T = 370 K. The duct is 8 diameters in length, but the duct friction factor is unknown. The receiver pressure is fixed at 3 bar and a normal shock has formed at the duct exit.<br /><br />(a) Determine the friction factor of the duct. (b) What is the total change in entropy for the system?​