Problem 99HP

The main waterline into a tall building has a pressure of 600 kPa at 5-m elevation belowground level. The building is shown in Fig. P1.99. How much extra pressure does a pump need to add to ensure a waterline pressure of 200 kPa at the top floor 150 m aboveground?

FIGURE P1.99

Solution 99HP

Step 1 of 3:

The main waterline is connected to a tall building having height h from the water below the ground at a pressure Pg. We are going to find the extra pressure to be added to ensure the pressure Pt at the top.

The pressure of water below ground Pg = 600 kPa

The height of the building h = 150 m

The depth of water below ground d = 5 m

The acceleration due to gravity g = 9.81 m/s2

The pressure at the top Pt = 200 kPa = 200 x 103 Pa

The density of water ⍴ = 1000 kg/m3