9 Given: A looped piping network is used to move room temperature water and designed per the diagram shown in Figure 1. Utilize the Hardy-Cross method, an MS Excel spreadsheet, and one iteration of hand calculations. Find: (i) Write the set of all nodal equations (ii) Write the set of all loop equations (iii) Determine the number of initially guessed flowrates. (iv) Write the algorithm for computation. (Write each equation how you chose to solve it in "Unknown = Known, Guessed, and Computed" format. (v) Write each required correction factor equation. (vi) Compute the flow rates in each of the pipelines, in units of [gpm]. (vii) Check your work. Submit all work documents and files. Qc S 3 QB Characteristics: QA Figure 1. Diagram of the piping network. The eight pipelines that are radially oriented each are 4-inch Schedule 40 black standard steel pipe. Each pipe is 100 m in length, and each has four 90-degree bends and one fully opened rotary valve. The eight pipelines that are circumferentially oriented each are 6-inch Schedule 40 black standard steel pipe. Each pipeline is 80 m in length, and each has four 45-degree bends and one fully open rotary valve. None of the pipelines shown in Figure 1 were greater than 10 meters in length so you may assume an appropriate number of connections. Known flowrates The input and output flowrates are known such that: Q = 400 gpm QB = 150 gpm Qc = 150 gpm