Ambient temperature water (20C) flows through a horizontal, 100m long, square channel that has the same cross-sectional area as a 5 " schedule 40 pipe and the same surface roughness as cast iron. a) Calculate the hydraulic diameter for the square channel. (3 marks) b) Write the simplified form of the Bernoulli equation (in either form) that describes the flow of water in the channel. (2 marks) c) If the reported pressure drop across the entire length of the channel is 1000Pa, determine the volumetric flow rate of water (m3/s)