Water at15◦cflows through a pipe with an internal diameter of0.1 m and average internal roughness of 0.000 15 mat a mass flow rate of15 kg/s. the total pipe length is150 m. thepipe also contains one check valve withle/d=55and four 90◦elbows withle/d=30 each. assume the properties for water arerho=1000 kg/m3,μ=0.001 14 pa s, andg=9.81 m/s2. (a) is the flow turbulent? (b) determine the darcy friction factor. (be sure to specify the method you used.) (c) determine the major head loss. (d) determine the total minor head loss. (e) what percentage of the total head loss is the minor head loss? (f) determine the pressure drop through the pipe.