Two identical pumps have the characteristic curves shown in Figure 5.13, which are shown in the following table. The pumps are connected in series and deliver water through a 40 cm-diameter, 1,000-m-long commercial steel pipe into a reservoir where the water level is 25 m above the pump. Neglecting minor losses, determine (a) the discharge in the system if only one pump is used, and (b) the discharge when the system contains two pumps connected in series. [Hint: Use a spreadsheet with the Swamee-Jain equation (3.24a) applied to determine the friction factor.]

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100 200 300 400 500 30.0 29.5 28.0 25.0 9.0 4.0