Air enters a 13-cm-diameter adiabatic duct with inlet conditions of v1 = 150 m/s, t1 = 500 k, and p1 = 200 kpa. for an average friction factor of 0.014, determine the duct length from the inlet where the inlet velocity doubles. also determine the pressure drop along that section of the duct. take the properties of air to be k = 1.4, cp = 1.005 kj/kg·k, and r = 0.287 kj/kg·k. the average friction factor is given to be f = 0.014.