Combustion gases with an average specific heat ratio of k = 1.33 and a gas constant of R = 0.280 kJ/kg·K enter a 10-cm-diameter adiabatic duct with inlet conditions of Ma₁ = 2, T₁ = 510 K, and P₁ = 180 kPa. If a normal shock occurs at a location 2 m from the inlet, determine the velocity, temperature, and pressure at the duct exit. Take the average friction factor of the duct to be 0.010.